Question

Curved surface area of a cylinder is 1056 cm and height is 16 cm. Find the volume of cylinder.

Answer 1

$curved \: surface \: area = 2\pi \: r \: l \\ r - radius \\ l - height \\ \\ given \: that \: curved \: surface \: area \: is \: 1056 \\ \\ 1056 = 2 \times \frac{22}{7} r \times 16 \\ r = \frac{21}{2 }$
Now volume of cylinder be-

$\pi \: { r}^{2} l \\ \frac{22}{7} \times \frac{21}{2} \times \frac{21}{2} \times 16 \\ \\ 5544 {cm}^{3}$