Question

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

• A. 0.307 litres
• B. 0.363 litres
• C. 0.903 litres
• D. 0.303 litres

Answer 1

The correct option is D

0.303 litres

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

Volume of the hemispherical bowl $=\frac{2}{3}\pi r^3$
$=[\frac{2}{3}\times \frac{22}{7}\times (5.25{)}^3]c{m}^3$
$=303.1875c{m}^3$

We know, 1 litre = 1000 $c{m}^3$
$⟹303.1875c{m}^3=\left(\frac{303.1875}{1000}\right)litres=0.3031875litres=0.303litres\text{(approximately)}$

Therefore, the bowl can hold 0.303 litres of milk.