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).
$\left(\pi=\frac{22}{7}\right)$
Answer & explanation
Correct answer: option 3
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