Question

If the volume of a cylinder is $3080{\text{cm}}^3$ and the base radius is $7$ cm, find the curved surface area of the cylinder.

Answer 1

Given,

Volume of the cylinder $=3080c{m}^3$

Radius of base $r=7cm$

Let the height be $h.$

$\pi =\frac{22}{7}$

Volume of cylinder $=3080c{m}^3$

$\pi r^{2}h=3080$

$\Rightarrow \frac{22}{7}\times 7\times 7\times h=3080$

$\Rightarrow 154\times h=3080$

$\Rightarrow h=\frac{3080}{154}$

$\Rightarrow h=20$

Height of the cylinder $h=20cm$

Curved surface area of the cylinder $=2\pi rh$

$=2\times \frac{22}{7}\times 7\times 20$

$=2\times 22\times 20$

$=880c{m}^2$

Hence, the curved surface area of the ccylinder is $880c{m}^2$