Question

3.

If the volume of cylinder of height 7 cm is 448 cm², then the total surface area of cylinder is
(1) 2041 cm?
(2) 2241 cm?
(3) 2481 cm?
(4) 240 cm?

Answer 1

A = 240π cm²

Explanation:

Given that,

Height of a cylinder, h = 7 cm

Volume of the cylinder, V = 448π cm³

We need to find the total surface area of the cylinder.

The formula for the volume of the cylinder is given by :

`V=\pi r^2 h\\\\r=\sqrt{(V\pi )/(\pi h)} \\\\r=\sqrt{(448\pi )/(\pi * 7)} \\\\r=8\ cm`

The formula for the total surface area of the cylinder is given by :

`A=2\pi r(r+h)\\\\A=2\pi * 8* (8+7)\\\\A=240\pi \ cm^2`

So, the total surface area of the cylinder is 240π cm².