24740 + Interview Questions in Mathematics Page 128 InterviewSolution

6351.	Suppose 2 kg of sugar contains 9×106 crystals. How many sugar crystals are there in (i) 5 kg of sugar? (ii) 1.2 kg of sugar? [2 MARKS]
Answer» Suppose 2 kg of sugar contains $9 \times 10^{6}$ crystals. How many sugar crystals are there in (i) 5 kg of sugar? (ii) 1.2 kg of sugar? [2 MARKS]

Discussion

6352.	Factorise:22a3+33b3+c3-36abc
Answer» Factorise: $2 \sqrt{2} a^{3} + 3 \sqrt{3} b^{3} + c^{3} - 3 \sqrt{6} a b c$

Discussion

6353.	What is the factor of X^11+X^22
Answer» What is the factor of X^11+X^22

Discussion

6354.	If the system of linear equation x+ 2ay + az = 0 , x + 3by + bz = 0 , x + 4cy + cz =0 has a non - zero solution , then a, b, cA) H.P B) APC ) G.P
Answer» If the system of linear equation x+ 2ay + az = 0 , x + 3by + bz = 0 , x + 4cy + cz =0 has a non - zero solution , then a, b, c A) H.P B) AP C ) G.P

Discussion

6355.	Factorise x2−2√2x−30
Answer» Factorise $x^{2} - 2 \sqrt{2} x - 30$

Discussion

6356.	Find the values of x in each of the following:(i) 25x÷2x =2205(ii) (23)4=(22)x(iii) 35x 532x=12527(iv) 5x-2×32x-3 =135(v) 2x-7×5x-4=1250(vi) 432x+12=132(vii) 52x+3=1(viii) 13x=44-34-6(ix) 35x+1=12527
Answer» Find the values of x in each of the following: (i) $2^{5 x} \div 2 x = \sqrt[5]{2^{20}}$ (ii) $(2^{3})^{4} = (2^{2})^{x}$ (iii) ${(\frac{3}{5})}^{x} {(\frac{5}{3})}^{2 x} = \frac{125}{27}$ (iv) $5^{x - 2} \times 3^{2 x - 3} = 135$ (v) $2^{x - 7} \times 5^{x - 4} = 1250$ (vi) ${(\sqrt[3]{4})}^{2 x + \frac{1}{2}} = \frac{1}{32}$ (vii) $5^{2 x + 3} = 1$ (viii) ${(13)}^{\sqrt{x}} = 4^{4} - 3^{4} - 6$ (ix) ${(\sqrt{\frac{3}{5}})}^{x + 1} = \frac{125}{27}$

Discussion

6357.	A rectangle is called congruent to a square of side 5 cm provided
Answer» A rectangle is called congruent to a square of side 5 cm provided

Discussion

6358.	There is a coin. Ram attaches a hemispherical attachment to one flat end of the coin which has the same radius as the coin. What is the surface area of the combined solid?
Answer» There is a coin. Ram attaches a hemispherical attachment to one flat end of the coin which has the same radius as the coin. What is the surface area of the combined solid?

Discussion

6359.	Question 9 (i)Classify √23 as rational or irrational.
Answer» Question 9 (i) Classify $\sqrt{23}$ as rational or irrational.

Discussion

6360.	Give the geometrical representation of 2x + 13 = 0 as an equation in(i) on variable(ii) two variable
Answer» Give the geometrical representation of 2x + 13 = 0 as an equation in (i) on variable (ii) two variable

Discussion

6361.	Question 5Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d is zero, the product of the other two zeroes is(a)−ca(b)ca(c)0(d)−ba
Answer» Question 5 Given that one of the zeroes of the cubic polynomial $a x^{3} + b x^{2} + c x + d$ is zero, the product of the other two zeroes is (a) $\frac{- c}{a}$ (b) $\frac{c}{a}$ (c)0 (d) $\frac{- b}{a}$

Discussion

6362.	Tap the fractions which results in non-terminating repeating decimals
Answer» Tap the fractions which results in non-terminating repeating decimals

Discussion

6363.	A ball is dropped from a bridge of height 122.5m above a river
Answer» A ball is dropped from a bridge of height 122.5m above a river

Discussion

6364.	Construct a triangle whose sides are 3.6cm , 3.0cm and 4.8cm and an angle bisector of the smallest angle.
Answer» Construct a triangle whose sides are 3.6cm , 3.0cm and 4.8cm and an angle bisector of the smallest angle.

Discussion

6365.	Which of the following is a polynomial in 1 variable?
Answer» Which of the following is a polynomial in 1 variable?

Discussion

6366.	ΔDGH and ΔDEF are as shown below. Find the lengths of segments DG and DE.(All the measures are in cm.)
Answer» $Δ D G H and Δ D E F are as shown below.$ $Find the lengths of segments DG and DE.$ $(All the measures are in cm.)$

6366.

ΔDGH and ΔDEF are as shown below. Find the lengths of segments DG and DE.(All the measures are in cm.)

Answer»

$Δ D G H and Δ D E F are as shown below.$ $Find the lengths of segments DG and DE.$

$(All the measures are in cm.)$

Discussion

6367.	Simplify and solve the following linear equation.0.25(4f−3)=0.05(10f−9)
Answer» Simplify and solve the following linear equation. $0.25 (4 f - 3) = 0.05 (10 f - 9)$

Discussion

6368.	In the given figure, P is a point in the interior of a parallelogram ABCD. Show that(i) ar (APB) + ar (PCD) = ar (ABCD)(ii) ar (APD) + ar (PBC) = ar (APB) + ar (PCD)[Hint: Through. P, draw a line parallel to AB]
Answer» In the given figure, P is a point in the interior of a parallelogram ABCD. Show that (i) ar (APB) + ar (PCD) = ar (ABCD) (ii) ar (APD) + ar (PBC) = ar (APB) + ar (PCD) [Hint: Through. P, draw a line parallel to AB]

6368.

In the given figure, P is a point in the interior of a parallelogram ABCD. Show that(i) ar (APB) + ar (PCD) = ar (ABCD)(ii) ar (APD) + ar (PBC) = ar (APB) + ar (PCD)[Hint: Through. P, draw a line parallel to AB]

Answer»

In the given figure, P is a point in the interior of a parallelogram ABCD. Show that

(i) ar (APB) + ar (PCD) = ar (ABCD)

(ii) ar (APD) + ar (PBC) = ar (APB) + ar (PCD)

[Hint: Through. P, draw a line parallel to AB]

Discussion

6369.	I have a certain number of chocolates. My friend has 4 more than twice the number of chocolates I have. Which of the following equations depicts the relation between the number of chocolates with me and my friend? (Assume x as number of chocolates I have and y as number of chocolates my friend has.)
Answer» I have a certain number of chocolates. My friend has 4 more than twice the number of chocolates I have. Which of the following equations depicts the relation between the number of chocolates with me and my friend? (Assume $x$ as number of chocolates I have and $y$ as number of chocolates my friend has.)

Discussion

6370.	Question 64 The original price of a shampoo bottle bought for Rs 324, if 8% VAT is included in the price, is Rs 300.
Answer» Question 64 The original price of a shampoo bottle bought for Rs 324, if 8% VAT is included in the price, is Rs 300.

6370.

Question 64 The original price of a shampoo bottle bought for Rs 324, if 8% VAT is included in the price, is Rs 300.

Answer»

Question 64

The original price of a shampoo bottle bought for Rs 324, if 8% VAT is included in the price, is Rs 300.

Discussion

6371.	If (x2+y2+z2)=(xy+yz+zx), what is the value of x3+y3+z3?
Answer» If $(x^{2} + y^{2} + z^{2}) = (x y + y z + z x)$ , $what is the value of x^{3} + y^{3} + z^{3}$ ?

Discussion

6372.	{ The height of sand in a cylindrical-shaped can drops }3 inches when }1 cubic foot of sand }} is poured out. What is the diameter, in inches, of the cylinder?
Answer» { The height of sand in a cylindrical-shaped can drops }3 inches when }1 cubic foot of sand }} is poured out. What is the diameter, in inches, of the cylinder?

Discussion

6373.	The difference between C.I. compounded half-yearly and yearly on Rs 50,000 for 18 months at the rate of 5% p.a. is
Answer» The difference between C.I. compounded half-yearly and yearly on Rs 50,000 for 18 months at the rate of 5% p.a. is

Discussion

6374.	find the nature of the roots of ^{}x^2+2x+1/3= and solve it.
Answer» find the nature of the roots of ^{}x^2+2x+1/3= and solve it.

Discussion

6375.	Prove that parallelogram on the same base and between the same parallels are equal in area.
Answer» Prove that parallelogram on the same base and between the same parallels are equal in area.

Discussion

6376.	In a village, the milk was collected from 50 milkmen at a collection center in litres as given below :27, 75, 5, 99, 70, 12, 15, 20, 30, 35, 45, 80, 77, 90, 92, 72, 4, 33, 22, 15, 20, 28, 29, 14, 16, 20, 72, 81, 85, 10, 16, 9, 25, 23, 26, 46, 55, 56, 66, 67, 51, 57, 44, 43, 6, 65, 42, 36, 7, 35.By taking suitable classes, prepare grouped frequency distribution table.
Answer» In a village, the milk was collected from 50 milkmen at a collection center in litres as given below : 27, 75, 5, 99, 70, 12, 15, 20, 30, 35, 45, 80, 77, 90, 92, 72, 4, 33, 22, 15, 20, 28, 29, 14, 16, 20, 72, 81, 85, 10, 16, 9, 25, 23, 26, 46, 55, 56, 66, 67, 51, 57, 44, 43, 6, 65, 42, 36, 7, 35. By taking suitable classes, prepare grouped frequency distribution table.

Discussion

6377.	If sum of opposite angles of a quadrilateral is 180∘, then the quadrilateral is a _____.
Answer» If sum of opposite angles of a quadrilateral is $180^{\circ}$ , then the quadrilateral is a _____.

Discussion

6378.	D is the mid-point of side BC of ΔABC and E is the mid point of BD. If O is the midpoint of AE.Then Area of (ΔBOE) .
Answer» D is the mid-point of side BC of $Δ A B C$ and E is the mid point of BD. If O is the midpoint of AE.Then Area of ( $Δ B O E$ ) .

Discussion

6379.	If f(x) =-√25-x^2 then find limx-1 f(x)-f(1)/x-1
Answer» If f(x) =-√25-x^2 then find limx-1 f(x)-f(1)/x-1

Discussion

6380.	In the given figure, XY \|\| BC. Find the length of XY.
Answer» In the given figure, XY \|\| BC. Find the length of XY.

Discussion

6381.	If the mean of observation x1, x2, ...., xn is x, then the mean of x1 + a, x2 + a, ....., xn + a is(a) ax(b) x-a(c) x+a(d) xa
Answer» If the mean of observation $x_{1}, x_{2}, . . . ., x_{n} is x$ , then the mean of x₁ + a, x₂ + a, ....., x_n + a is (a) $a x$ (b) $x - a$ (c) $x + a$ (d) $\frac{x}{a}$

Discussion

6382.	Degree of the polynomial p(x) = 4x4 + 2x3 + x5 + 2x + 7 is:
Answer» Degree of the polynomial p(x) = 4x⁴ + 2x³ + x⁵ + 2x + 7 is:

Discussion

6383.	Find the probability of of getting (I)9 (ii)7 and (iii)6 on throwing two dice.
Answer» Find the probability of of getting (I)9 (ii)7 and (iii)6 on throwing two dice.

Discussion

6384.	if O is the point of intersection of two chords AB and CD such that OB=OD and angle AOC=45 than triangles OAC and ODB ARE
Answer» if O is the point of intersection of two chords AB and CD such that OB=OD and angle AOC=45 than triangles OAC and ODB ARE

Discussion

6385.	Which of the following is (are) not equal to 561/5-1/6 ?(a) 5615-36 (b) 1561/51/6(c) 651/30(d) 56-1/30
Answer» Which of the following is (are) not equal to ${\{{(\frac{5}{6})}^{1 / 5}\}}^{- 1 / 6}$ ? (a) ${\{{(\frac{5}{6})}^{\frac{1}{5}}\}}^{- \frac{3}{6}}$ (b) $\frac{1}{{\{{(\frac{5}{6})}^{1 / 5}\}}^{1 / 6}}$ (c) ${(\frac{6}{5})}^{1 / 30}$ (d) ${(\frac{5}{6})}^{- 1 / 30}$

Discussion

6386.	If (x+5) is a factor of p(x)=x3−20x+5k then k=? (a) -5 (b) 5 (c) 3 (d)-3
Answer» If (x+5) is a factor of p $(x) = x^{3} - 20 x + 5$ k then k=? (a) -5 (b) 5 (c) 3 (d)-3

Discussion

6387.	x^2 -6x+ [x] + 7 = 0
Answer» x^2 -6x+ [x] + 7 = 0

Discussion

6388.	Fill in the blanks to make the following statements true.(i) In a right triangle the hypotenuse is the ...... side.(ii) The sum of three altitudes of a triangle is ....... than its perimeter.(iii) The sum of any two sides of a triangle is ..... than the third side.(iv) If two angles of a triangle are unequal, then the smaller angle has the ..... side opposite to it.(v) Difference of any two sides of a triangle is ...... than the third side.(vi) If two sides of a triangle are unequal, then the larger side has ...... angle opposite to it.
Answer» Fill in the blanks to make the following statements true. (i) In a right triangle the hypotenuse is the ...... side. (ii) The sum of three altitudes of a triangle is ....... than its perimeter. (iii) The sum of any two sides of a triangle is ..... than the third side. (iv) If two angles of a triangle are unequal, then the smaller angle has the ..... side opposite to it. (v) Difference of any two sides of a triangle is ...... than the third side. (vi) If two sides of a triangle are unequal, then the larger side has ...... angle opposite to it.

Discussion

6389.	Alex's father is 2 years older than three times Alex's age. If the age of Alex's father is 47 years, then which of the following equations is correct for the given situation.(Assume Alex age is x years)
Answer» Alex's father is 2 years older than three times Alex's age. If the age of Alex's father is 47 years, then which of the following equations is correct for the given situation.(Assume Alex age is $x$ years)

Discussion

6390.	If x>0 then prove that x>log(1+x)>x/(1+x)
Answer» If x>0 then prove that x>log(1+x)>x/(1+x)

Discussion

6391.	Equivalent ratio of 37 is .
Answer» Equivalent ratio of $\frac{3}{7}$ is .

Discussion

6392.	Question 15Two lines I and m intersect at the point O and P is a point on a line n passing through the point O such that P is equidistant from I and m. Prove that n is the bisector of the angle formed by I and m.
Answer» Question 15 Two lines I and m intersect at the point O and P is a point on a line n passing through the point O such that P is equidistant from I and m. Prove that n is the bisector of the angle formed by I and m.

Discussion

6393.	Using ruler and compasses only, construct a ΔABC, given base BC = 7 cm, ∠ABC = 60° and AB + AC = 12 cm.
Answer» Using ruler and compasses only, construct a ΔABC, given base BC = 7 cm, ∠ABC = 60° and AB + AC = 12 cm.

Discussion

6394.	Identify the number line which represents the sum of 19 and 28.
Answer» Identify the number line which represents the sum of 19 and 28.

Discussion

6395.	A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?
Answer» A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

Discussion

6396.	If sinA = cosA, find 2tan2A + sin2A - 1
Answer» If sinA = cosA, find 2tan²A + sin²A - 1

Discussion

6397.	There is a cylinder of base radius 3 cm and length 10 cm. Ram attaches a hemispherical attachment to each flat end of the cylinder having the same radius as the base radius of the cylinder. What is the surface area of the combined solid in cm2 ?
Answer» There is a cylinder of base radius 3 cm and length 10 cm. Ram attaches a hemispherical attachment to each flat end of the cylinder having the same radius as the base radius of the cylinder. What is the surface area of the combined solid in $c m^{2}$ ?

Discussion

6398.	The ratio of the radii of the bases and the heights of two cylinders are 2:3 and 6:5 respectively. What is the ratio of their curved surface areas?
Answer» The ratio of the radii of the bases and the heights of two cylinders are 2:3 and 6:5 respectively. What is the ratio of their curved surface areas?

Discussion

6399.	Now it is your turn .Write and produce your own radio programme. You will need to select your own content . The following are some ideas. You are free, of course, to add your own ideas. Remember, the programme must be in English.News stories: about people in your class, about school, about sports (school and local), about the local community Comedy: jokes, short playsInterviews: with teachers, with ex-students of your school, with a Class IX student who has recently done something very interestingGames: general knowledge quiz, panel game, word gameAdvertisements: for shops/ industries in the local community,things 'for sale' and 'wanted' by studentsLocal sites: monuments/sites of historical importance and of tourist interestSpecial reports: e.g. safety at school, examination results, school uniform, school assembliesInteresting people: role-play interviews with film stars, sports personalities, TV personalities, etc.Entertainment reviews: music, films, videos, books, etc.PlaysSongs with lyricsSpeeches on important personalitiesTele conference with students, teachers, experts.
Answer» Now it is your turn .Write and produce your own radio programme. You will need to select your own content . The following are some ideas. You are free, of course, to add your own ideas. Remember, the programme must be in English. News stories: about people in your class, about school, about sports (school and local), about the local community Comedy: jokes, short plays Interviews: with teachers, with ex-students of your school, with a Class IX student who has recently done something very interesting Games: general knowledge quiz, panel game, word game Advertisements: for shops/ industries in the local community,things 'for sale' and 'wanted' by students Local sites: monuments/sites of historical importance and of tourist interest Special reports: e.g. safety at school, examination results, school uniform, school assemblies Interesting people: role-play interviews with film stars, sports personalities, TV personalities, etc. Entertainment reviews: music, films, videos, books, etc. Plays Songs with lyrics Speeches on important personalities Tele conference with students, teachers, experts.

6399.

Now it is your turn .Write and produce your own radio programme. You will need to select your own content . The following are some ideas. You are free, of course, to add your own ideas. Remember, the programme must be in English.News stories: about people in your class, about school, about sports (school and local), about the local community Comedy: jokes, short playsInterviews: with teachers, with ex-students of your school, with a Class IX student who has recently done something very interestingGames: general knowledge quiz, panel game, word gameAdvertisements: for shops/ industries in the local community,things 'for sale' and 'wanted' by studentsLocal sites: monuments/sites of historical importance and of tourist interestSpecial reports: e.g. safety at school, examination results, school uniform, school assembliesInteresting people: role-play interviews with film stars, sports personalities, TV personalities, etc.Entertainment reviews: music, films, videos, books, etc.PlaysSongs with lyricsSpeeches on important personalitiesTele conference with students, teachers, experts.

Answer»

Now it is your turn .Write and produce your own radio programme. You will need to select your own content . The following are some ideas. You are free, of course, to add your own ideas. Remember, the programme must be in English.

News stories: about people in your class, about school, about sports (school and local), about the local community

Comedy: jokes, short plays

Interviews: with teachers, with ex-students of your school, with a Class IX student who has recently done something very interesting

Games: general knowledge quiz, panel game, word game

Advertisements: for shops/ industries in the local community,things 'for sale' and 'wanted' by students

Local sites: monuments/sites of historical importance and of tourist interest

Special reports: e.g. safety at school, examination results, school uniform, school assemblies

Interesting people: role-play interviews with film stars, sports personalities, TV personalities, etc.

Entertainment reviews: music, films, videos, books, etc.

Plays

Songs with lyrics

Speeches on important personalities

Tele conference with students, teachers, experts.

Discussion

6400.	The radius of a hemisphere having a total surface area of 1848 sq. cm is ___
Answer» The radius of a hemisphere having a total surface area of 1848 sq. cm is ___

Discussion

Explore topic-wise InterviewSolutions in .

Suppose 2 kg of sugar contains 9×106 crystals. How many sugar crystals are there in (i) 5 kg of sugar? (ii) 1.2 kg of sugar? [2 MARKS]

Factorise:22a3+33b3+c3-36abc

What is the factor of X^11+X^22

If the system of linear equation x+ 2ay + az = 0 , x + 3by + bz = 0 , x + 4cy + cz =0 has a non - zero solution , then a, b, cA) H.P B) APC ) G.P

Factorise x2−2√2x−30

Find the values of x in each of the following:(i) 25x÷2x =2205(ii) (23)4=(22)x(iii) 35x 532x=12527(iv) 5x-2×32x-3 =135(v) 2x-7×5x-4=1250(vi) 432x+12=132(vii) 52x+3=1(viii) 13x=44-34-6(ix) 35x+1=12527

A rectangle is called congruent to a square of side 5 cm provided

There is a coin. Ram attaches a hemispherical attachment to one flat end of the coin which has the same radius as the coin. What is the surface area of the combined solid?

Question 9 (i)Classify √23 as rational or irrational.

Give the geometrical representation of 2x + 13 = 0 as an equation in(i) on variable(ii) two variable

Question 5Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d is zero, the product of the other two zeroes is(a)−ca(b)ca(c)0(d)−ba

Tap the fractions which results in non-terminating repeating decimals

A ball is dropped from a bridge of height 122.5m above a river

Construct a triangle whose sides are 3.6cm , 3.0cm and 4.8cm and an angle bisector of the smallest angle.

Which of the following is a polynomial in 1 variable?

ΔDGH and ΔDEF are as shown below. Find the lengths of segments DG and DE.(All the measures are in cm.)

Simplify and solve the following linear equation.0.25(4f−3)=0.05(10f−9)

In the given figure, P is a point in the interior of a parallelogram ABCD. Show that(i) ar (APB) + ar (PCD) = ar (ABCD)(ii) ar (APD) + ar (PBC) = ar (APB) + ar (PCD)[Hint: Through. P, draw a line parallel to AB]

Question 64 The original price of a shampoo bottle bought for Rs 324, if 8% VAT is included in the price, is Rs 300.

If (x2+y2+z2)=(xy+yz+zx), what is the value of x3+y3+z3?

{ The height of sand in a cylindrical-shaped can drops }3 inches when }1 cubic foot of sand }} is poured out. What is the diameter, in inches, of the cylinder?

The difference between C.I. compounded half-yearly and yearly on Rs 50,000 for 18 months at the rate of 5% p.a. is

find the nature of the roots of ^{}x^2+2x+1/3= and solve it.

Prove that parallelogram on the same base and between the same parallels are equal in area.

If sum of opposite angles of a quadrilateral is 180∘, then the quadrilateral is a _____.

D is the mid-point of side BC of ΔABC and E is the mid point of BD. If O is the midpoint of AE.Then Area of (ΔBOE) .

If f(x) =-√25-x^2 then find limx-1 f(x)-f(1)/x-1

In the given figure, XY || BC. Find the length of XY.

If the mean of observation x1, x2, ...., xn is x, then the mean of x1 + a, x2 + a, ....., xn + a is(a) ax(b) x-a(c) x+a(d) xa

Degree of the polynomial p(x) = 4x4 + 2x3 + x5 + 2x + 7 is:

Find the probability of of getting (I)9 (ii)7 and (iii)6 on throwing two dice.

if O is the point of intersection of two chords AB and CD such that OB=OD and angle AOC=45 than triangles OAC and ODB ARE

Which of the following is (are) not equal to 561/5-1/6 ?(a) 5615-36 (b) 1561/51/6(c) 651/30(d) 56-1/30

If (x+5) is a factor of p(x)=x3−20x+5k then k=? (a) -5 (b) 5 (c) 3 (d)-3

x^2 -6x+ [x] + 7 = 0

Alex's father is 2 years older than three times Alex's age. If the age of Alex's father is 47 years, then which of the following equations is correct for the given situation.(Assume Alex age is x years)

If x>0 then prove that x>log(1+x)>x/(1+x)

Equivalent ratio of 37 is .

Question 15Two lines I and m intersect at the point O and P is a point on a line n passing through the point O such that P is equidistant from I and m. Prove that n is the bisector of the angle formed by I and m.

Using ruler and compasses only, construct a ΔABC, given base BC = 7 cm, ∠ABC = 60° and AB + AC = 12 cm.

Identify the number line which represents the sum of 19 and 28.

A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?

If sinA = cosA, find 2tan2A + sin2A - 1

There is a cylinder of base radius 3 cm and length 10 cm. Ram attaches a hemispherical attachment to each flat end of the cylinder having the same radius as the base radius of the cylinder. What is the surface area of the combined solid in cm2 ?

The ratio of the radii of the bases and the heights of two cylinders are 2:3 and 6:5 respectively. What is the ratio of their curved surface areas?

The radius of a hemisphere having a total surface area of 1848 sq. cm is ___