Question

The volume of a cylinder is 448$\pi {cm}^3$ and the height is 7$cm,$ find its lateral surface area and
the total surface area.

Answer 1

Volume $=448\pi c{m}^3$

height $=7cm$

$\pi r^{2}h=448\pi$

$r^2\times 7=448$

$r^2=64$

$r=8$

lateral surface

Area $=2\pi rh$

$=112\pi c{m}^2$

Total surface Are

$=2\pi rh+2\pi r^2$

$=112\pi +128\pi$

$=240\pi c{m}^2$