Question

The curved surface area of a cylinder is 17,600 $c{m}^2$ and the circumference of its base is 220 cm.Find the volume of the cylinder.

• A. 52.45 Hectares
• B. 49.25 Hectares
• C. 56.25 Hectares
• D. 66.76 Hectares

Answer 1

The correct option is C

56.25 Hectares

Given $2\pi rh$ = 17,600 $c{m}^2$ and $2\pi r$ = 220 cm

Volume of a cylinder = $\pi r^{2}h$

$2\pi r$ = 220 cm

$\Rightarrow$ 2 x $\frac{22}{7}$ x r = 220

$\Rightarrow$ r = 220 x $\frac{7}{2\times 22}$ = 35 cm

$2\pi rh$ = 17,600 $c{m}^2$

$\Rightarrow$ 220 x h = 17600

$\Rightarrow$ h = 80 cm

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

= $\frac{22}{7}$ x 35 x 35 x 80

= 3,08,000 $c{m}^3$