Question

Find the volume of water which can be filled in a bucket of height 8 cm and radii of ends of the bucket are 9 cm and 3 cm.

• A. $321\pi c{m}^3$
• B. $312\pi c{m}^3$
• C. $108\pi c{m}^3$
• D. $324\pi c{m}^3$

Answer 1

The correct option is B $312\pi c{m}^3$

A bucket can be considered as a frustum of a cone.

Now, volume of the water which can be filled in the bucket = Volume of the frustum
$=\frac{\pi }{3}(r_1^2+r_1{r}_2+r_2^2)h$
$=\frac{\pi }{3}(9^2+9\times 3+3^2)8c{m}^3=312\pi c{m}^3$