Question

The volume of the cylinder is $448\pi$cu.cm and height is $7$cm.Find its curved surface area.

Answer 1

Height of the cylinder$=h=7$cm

volume of the cylinder$=v=448\pi$cu.cm

$\Rightarrow \pi r^{2}h=448\pi$cu.cm

$\Rightarrow r^2=\frac{448}{7}=64$

$\Rightarrow r=\sqrt{64}=8$cm

Curved surface area$=2\pi rh=2\pi \times 8\times 7=112\pi =112\times \frac{22}{7}=352$sq.cm