How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
Question.

How many litres of milk can a hemispherical bowl of diameter $10.5 \mathrm{~cm}$ hold? $\left[\right.$ Assume $\left.\pi=\frac{22}{7}\right]$

Solution:

Radius $(r)$ of hemispherical bowl $=\left(\frac{10.5}{2}\right) \mathrm{cm}=5.25 \mathrm{~cm}$

Volume of hemispherical bowl $=\frac{2}{3} \pi r^{3}$

$=\left[\frac{2}{3} \times \frac{22}{7} \times(5.25)^{3}\right] \mathrm{cm}^{3}$

$=303.1875 \mathrm{~cm}^{3}$

Capacity of the bowl $=\left(\frac{303.1875}{1000}\right)$ litre

$=0.3031875$ litre $=0.303$ litre (approximately)

Therefore, the volume of the hemispherical bowl is $0.303$ litre.
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