Question

The height of a cylinder is 14 cm and its curved surface area is 264 cm². The volume of the cylinder is 

A. 308 cm³ 

B. 396 cm³ 

C. 1232 cm³ 

D. 1848 cm³

Answer 1

We know that, 

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

264 = \(2\pi rh\)

r = \(\frac{264\times7}{2\times22\times14}\)

r = 3 cm

We know that, 

Volume of cylinder = \(\pi r^2h\)

= \(\frac{22}{7}\times3\times3\times14\)

= 396 cm³ 

Hence, option B is correct