Question

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

Answer 1

Step 1: Calculate the Volume

Diameter of a hemispherical bowl$=10.5cm$

Radius $r=\frac{10.5}{2}$

$=5.25cm$

The volume of the hemispherical bowl

$V=\frac{2}{3}\pi r^3$

$=\frac{2}{3}\pi \times 5.{25}^3$

$=303.1875c{m}^3$

Step 2: Express in litres

We know that

$1$ litre = $1000c{m}^3$

$\therefore 303.1875c{m}^3=0.3031875$ litre

$\approx 0.303$ litre

Hence the hemispherical bowl can holds $0.303$ litre.