Question

If the volume of the cylinder is $924$ cubic meters and its curved surface surface area is $264$ square meters, then find the height of the cylinder.

Answer 1

$\pi r^{2}h=924m^3$

$2\pi rh=264m^2$

$\Rightarrow \frac{r}{2}=\frac{924}{264}\Rightarrow r=7$

$\therefore$ $h=\frac{264\times 7}{2\times 22\times 7}=\frac{264}{44}=6m$