An ice cream is in the form of a cone surmounted by a hemisphere. If the base radius of the cone is 3.5 cm and height of the ice cream is 10 cm, then find the volume of the ice cream (in cm³).

$\left(\pi=\frac{22}{7}\right)$

173.25

We have,

Radius of the cone is 3.5 cm and height of the ice cream is 10 cm

Radius of the cone = Radius of the hemisphere.

Height of the cone = 10 - 3.5 = 6.5

The volume of the ice cream = Volume of the cone + volume of the hemisphere.

= \(\frac{1}{3}\)πr²h + \(\frac{2}{3}\)πr³

= \(\frac{1}{3}\) × \(\frac{22}{7}\) × (3.5)² × 6.5 + \(\frac{2}{3}\) × \(\frac{22}{7}\) × (3.5)³

= 83.54 + 89.8 = 173.25