Question

From a solid right circular cylinder with height 4 cm and radius of the base 3 cm, a right circular cone of the same height and the same radius is drilled out. Find the volume of the remaining solid.

• A. $55.42$ $c{m}^3$
• B. $65.42$ $c{m}^3$
• C. $75.42$ $c{m}^3$
• D. $85.42$ $c{m}^3$

Answer 1

The correct option is C $75.42$ $c{m}^3$

Volume of the remaining solid $=$ volume of the cylinder - volume of the cone removed
$=$ $\pi r^{2}h-\frac{1}{3}\times \pi r^{2}h$
$=$ $\frac{2}{3}\times \frac{22}{7}\times 3^2\times 4$
$=$ $75.42$ $c{m}^3$