Question

The curved surface area of a cylinder is $4400{\text{cm}}^2$ and the circumference of its base is $110$ cm. Find the height and the volume of the cylinder.

Answer 1

Circumference of its base $=110cm$

$2\pi r=110$

$2\times \frac{22}{7}\times r=110$

$\frac{44}{7}\times r=110$

$r=17.5cm$

Curved Surface Area $=4400c{m}^2$

$2\pi rh=4400$

$2\times \frac{22}{7}\times h\times 17.5=4400$

$\frac{44}{7}\times 17.5\times h=440$

$h=\frac{4400}{40}\times 2.5$

$h=40cm$

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

$=\frac{22}{7}\times 17.5\times 17.5\times 40$

$=38500c{m}^2$