Question

The curved surface area of a cylinder is 440 cm² and its height is 7 cm. Find the volume of the cylinder.

Answer 1

Answer:

The volume of the cylinder:2200 c-cm

Step-by-step explanation:

Curved surface area of a cylinder

$\boxed{CSA = 2\pi \: r \: h}$

Height of Cylinder= 7 cm

ATQ,

The curved surface area of a cylinder is 440 cm²

$2\pi \: rh = 440 \\ \\ r = \frac{440}{2\pi \: \times 7} \\ \\ r = \frac{440 \times 7}{2 \times 22 \times 7} \\ \\ r = 10 \: cm$

Volume of Cylinder

$\boxed{V=\pi \: {r}^{2} h }$

$= \frac{22}{7} \times {(10)}^{2} \times 7 \\ \\ = \frac{22 \times 100 \times 7}{7} \\ \\ = 2200 \: {cm}^{3}$

Hope it helps you.