Question

Find the volume of the cylinder, if the circumference of the cylinder is 88 cm and the height is 20 cm?

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

• A. 12500$c{m}^3$
• B. 12800$c{m}^3$
• C. 13000$c{m}^3$
• D. 12320$c{m}^3$

Answer 1

The correct option is D

12320$c{m}^3$

Let the radius of the cylinder be 'r' cm.

We know that circumference = $2\pi r$

or 88 = 2$\pi r$

$or,$ 88 = 2 $\times \frac{22}{7}\times r$

$or,$ r = $\frac{88\times 7}{2\times 22}=14cm$

Now, volume of cylinder =$\pi r^{2}h$

$\therefore$ volume of the cylilinder =$\pi \times (14{)}^2\times 20$

=$\frac{22}{7}\times 14\times 14\times 20$

=$12320c{m}^3$