The diameter of a cylinder is 14 cm and its curved surface area is 220

1.	The diameter of a cylinder is 14 cm and its curved surface area is 220 cm2. the volume of the cylinder is A. 770 cm3 B. 1000 cm3 C. 1540 cm3 D. 6622 cm3
Answer» Given that, Diameter = 14 cm So, Radius = 7 cm We know that, Curved surface area of cylinder = \(2\pi rh\) 220 cm² = \(2\pi rh\) h = \(\frac{220\times7}{2\times22\times7}\) h = 5 cm Therefore, Volume of cylinder = \(2\pi rh\) = \(\frac{22}{7}\times7\times7\times5\) = 770 cm³ Hence, option A is correct

The diameter of a cylinder is 14 cm and its curved surface area is 220 cm2. the volume of the cylinder is A. 770 cm3 B. 1000 cm3 C. 1540 cm3 D. 6622 cm3

Answer»

Given that,

Diameter = 14 cm

So, Radius = 7 cm

We know that,

Curved surface area of cylinder = \(2\pi rh\)

220 cm² = \(2\pi rh\)

h = \(\frac{220\times7}{2\times22\times7}\)

h = 5 cm

Therefore,

Volume of cylinder = \(2\pi rh\)

= \(\frac{22}{7}\times7\times7\times5\)

= 770 cm³

Hence, option A is correct