Question:
Find the volume of a cylinder, if the diameter (d) of its base and its altitude (h) are:
(i) d = 21 cm, h = 10 cm
(ii) d = 7 m, h = 24 m
Solution:
(i) Given :
$d=21 \mathrm{~cm}$, radius, $r=\frac{d}{2}=10.5 \mathrm{~cm}$
height, $h=10 \mathrm{~cm}$
Volume of the cylinder, $V=\pi r^{2} h$
$=\frac{22}{7} \times(10.5)^{2} \times 10$
$=3465 \mathrm{~cm}^{3}$
(ii) Given :
$d=7 \mathrm{~m}$, radius, $r=\frac{d}{2}=3.5 \mathrm{~m}$
height $h=24 \mathrm{~m}$
Volume of the cylinder, $\mathrm{V}=\pi r^{2} h$
$=\frac{22}{7} \times(3.5)^{2} \times 24$
$=924 \mathrm{~m}^{3}$