Question

An ice cream cone consists of a right circular cone of height $14cm$ and diameter of the circular top is $5cm$ It has hemisphere on the top with the same diameter as of circular top. Find the volume of ice cream in the cone?

Answer 1

Height of the cone $h=14cm$ and diameter of the circular top $=5cm$

$\therefore$ Radius $r=\frac{5}{2}cm$

Now,

Volume of the cone $=\frac{1}{3}\pi r^{2}h$

$=\frac{1}{3}\times \frac{22}{7}\times \frac{5}{2}\times \frac{5}{2}\times 14c{m}^3$

$=91.67c{m}^3$

Now,

Volume of the hemisphere $=\frac{2}{3}\pi r^3$

$=\frac{2}{3}\times \frac{22}{7}\times {\left(\frac{5}{2}\right)}^{3}c{m}^3$

$=32.74c{m}^3$

So,

The volume of ice cream in the cone

$=$ Volume of cone + Volume of hemisphere

$=(91.67+32.74)c{m}^3$

$=124.41c{m}^3$