Question

A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is $10$ cm, and its base is of radius $3.5$ cm, find the volume of wood in the toy. $[Use\pi =\frac{22}{7}]$

• A. $425$
• B. $290$
• C. $474.83$
• D. $205.33$

Answer 1

The correct option is D $205.33$

Given height of cylinder $=10$ cm

Radius of cylinder $=3.5$ cm

The volume of toy$=$ Volume of cylinder $-2\times$Volume of a hemisphere

$=\pi r^{2}h-(2\times \frac{2}{3}\pi r^3)$

$=\left[\pi \right(3.5{)}^2\times 10]-(2\times \frac{2}{3}\times \pi (3.5{)}^3)=205.251c{m}^3$