Question

Find the quantity of water in a frustum of height 14 cm and radii 3 cm and 9 cm if water is filled upto brim.

• A. 1716

Answer 1

The correct option is A 1716

Given, $h=14cm,r_1=3cm,r_2=9cm$

Volume of the frustum
$=\frac{1}{3}\pi h({r_1}^2+{r_2}^2+r_1{r}_2)$

Therefore, volume of frustum
$=\frac{1}{3}\times \frac{22}{7}\times 14(9+81+27)$
$=\frac{1}{3}\times 22\times 2\times 117$
$=1716c{m}^3$

Volume of water = volume of frustum = 1716 $c{m}^3$