Question

The volume and curved surface area of a cylinder are $1650c{m}^3$ and $660c{m}^3$ respectively. Find the radius and height of the cylinder.

Answer 1

It is given volume of a cylinder $=1650cm$

$\pi r^{2}h=1650$ ...(1)

It is given that curved surface area of cyliner $=600cm$

$2\pi rh=660cm$ ...(2)

On solving (1) & (2)

$\frac{r}{2}=\frac{1650}{660}$

$r=\frac{1650}{330}$

$r=5cm$

Substitute $r=5$ in (2), we get

$2\pi rh=660$

$2.\frac{22}{7}\times 5\times h=660$

$2\times 22\times 5\times h=660\times 7$

$22\times h=4620$

$h=\frac{4620}{220}$

$h=21cm$

$\therefore$ radius of cylinder $=5cm$

Height of the cylinder $=21cm$