Question

The curved surface area and height of cylinder are $660{cm}^2$ and $15cm$ respectively.
Find its volume.

Answer 1

Let the radius of the cylinder be r.
Given, height of cylinder $=15cm$
and curved surface area $=660{cm}^2$
$\Rightarrow 2\pi rh=660$
$\begin{array}{cc}\Rightarrow 2\times \frac{22}{7}\times r\times 15& =660\\ r=\frac{660\times 7}{2\times 22\times 15}=7cm& \end{array}$
$\therefore$ Volume of cylinder $=\pi r^{2}h$
$\begin{array}{c}=\frac{22}{7}\times 7\times 7\times 15\\ =22\times 7\times 15\\ =2310{cm}^3\end{array}$
Hence, the volume of cylinder $=2310{cm}^3$