Iii) if the surface area of a sphere is 2826 cm2 then find its volume.

1.	Iii) if the surface area of a sphere is 2826 cm2 then find its volume. (i = 3.14)Sol
Answer» rong>Appropriate Question : If the surface area of a SPHERE is 2826cm² then FIND its volume. (π = 3.14). Solution : Given that, Surface area of a sphere is 2826cm². And we NEED to find out the volume of sphere. We know that, Surface area of sphere = 4πr². Volume of sphere = 4/3πr³. So, → Surface area of sphere = 4πr² → 2826 = 4 * 3.14 * r² → 2826 = 12.56 * r² → 2826 = 12.56r² → r² = 2826/12.56 → r² = 225 → r = √225 → r = 15. Now, → Volume of sphere = 4/3πr³ → Volume of sphere = 4/3 * 3.14 * (15)³ → Volume of sphere = 4/3 * 3.14 * 3375 → Volume of sphere = 4/3 * 10597.5 → Volume of sphere = 4 * 3532.5 → Volume of sphere = 14130. (Ans.) Hence, the volume of sphere is 14130cm³. Learn more : 1. if area of HEMISPHERE is 28,000m2 find the diameter of hemisphere brainly.in/question/31980774 2. ind the volume and surface area of the following cuboid. length=8cm ,breadth=7.5cm,height=12cm brainly.in/question/31084181

Iii) if the surface area of a sphere is 2826 cm2 then find its volume. (i = 3.14)Sol

Answer»

rong>Appropriate Question :

If the surface area of a SPHERE is 2826cm² then FIND its volume. (π = 3.14).

Solution :

Given that,

Surface area of a sphere is 2826cm².

And we NEED to find out the volume of sphere.

We know that,

Surface area of sphere = 4πr².
Volume of sphere = 4/3πr³.

So,

→ Surface area of sphere = 4πr²

→ 2826 = 4 * 3.14 * r²

→ 2826 = 12.56 * r²

→ 2826 = 12.56r²

→ r² = 2826/12.56

→ r² = 225

→ r = √225

→ r = 15.

Now,

→ Volume of sphere = 4/3πr³

→ Volume of sphere = 4/3 * 3.14 * (15)³

→ Volume of sphere = 4/3 * 3.14 * 3375

→ Volume of sphere = 4/3 * 10597.5

→ Volume of sphere = 4 * 3532.5

→ Volume of sphere = 14130. (Ans.)

Hence, the volume of sphere is 14130cm³.

Learn more :

1. if area of HEMISPHERE is 28,000m2 find the diameter of hemisphere

brainly.in/question/31980774

2. ind the volume and surface area of the following cuboid. length=8cm ,breadth=7.5cm,height=12cm

brainly.in/question/31084181