Question:
Find the volume of a cylinder, the diameter of whose base is 7 cm and height being 60 cm. Also, find the capacity of the cylinder in litres.
Solution:
Given :
Diameter, $d=7 \mathrm{~cm}$
Radius, $r=3.5 \mathrm{~cm}$
Height, $h=60 \mathrm{~cm}$
Volume of the cylinder, $\mathrm{V}=\pi r^{2} h$
$=\frac{22}{7} \times 3.5^{2} \times 60$
$=2310 \mathrm{~cm}^{3}$
Capacity of the cylinder in litres $=\frac{2310}{1000} \quad(1$ litre $=1000$ cubic $\mathrm{cm})$
$=2.31 \mathrm{~L}$