Question

The height of a cylinder is 14 cm and its curved surface area is $264c{m}^2$ .The volume of the cylinder is

$\left(a\right)308c{m}^3\left(b\right)396c{m}^3\left(c\right)1232c{m}^3\left(d\right)1848c{m}^3$

Answer 1

ANSWER: 396 $c{m}^3$ b

Formula:

Curved Surface Area = 2πrh

Given that the curved surface area = 264 $c{m}^2$ and the height = 14 cm:

2πr (14) = 264

28 x πr = 264

r = $\frac{264}{28\pi }$

r = 3 cm approx

Volume =$\pi \times r^2\times h$

Volume = $\pi \times 3^2\times 14$ = 396 $c{m}^3$ approx

The volume of the cylinder is 396 $c{m}^3$