Question

3.

Answer 1

Answer:

A = 240π cm²

Step-by-step 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 :

$V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm$

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

$A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2$

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