Question

If the curved surface area of a right circular cylinder is $704sq.cm$, and height is $8cm$, find the volume of the cylinder in litres. (Take $\pi =\frac{22}{7}$)

Answer 1

Let $r$ and $h$ be the radius and height of the right circular cylinder respectively.
Given that $h=8cm$ and $CSA=704sq.cm$
Now, $CSA=704$
$2\times \frac{22}{7}\times r\times 8=704$
$\therefore r=\frac{704\times 7}{2\times 22\times 8}=14cm$
Thus, the volume of the cylinder, $V=\pi r^{2}h$
$\frac{22}{7}\times 14\times 14\times 8=4928cu.cm$
Hence, the volume of the cylinder $=4.928$ litres ($100cu.cm=1litre$)