Question

The area of the curved surface of the cylinder is $704$sq.cm and its height is $8$cm, find the capacity of cylinder in litres.

Answer 1

Curved surface area of the cylinder $=704$sq.cm

$\Rightarrow 2\pi rh=704$

Height$=h=8$cm

$\Rightarrow 2\times \frac{22}{7}\times r\times 8=704$

$\Rightarrow r=\frac{704\times 7}{2\times 22\times 8}=14$

Volume of cylinder$=\pi r^{2}h$

$=\frac{22}{7}\times 14\times 14\times 8$

$=22\times 28\times 8=4928$cu.cm

$=4.928$litres