Question:
The diameter of a sphere is 14 cm. Its volume is
(a) 1428 cm3
(b) 1439 cm3
(c) $1437 \frac{1}{3} \mathrm{~cm}^{3}$
(d) 1440 cm3
Solution:
(c) $1437 \frac{1}{3} \mathrm{~cm}^{3}$
Volume of the sphere $=\frac{4}{3} \pi r^{3}$
$=\left(\frac{4}{3} \times \frac{22}{7} \times 7 \times 7 \times 7\right) \mathrm{cm}^{3}\left[d=14 \mathrm{~cm} \Rightarrow r=\frac{14}{2} \mathrm{~cm}=7 \mathrm{~cm}\right]$
$=\frac{4312}{3} \mathrm{~cm}^{3}$
$=1437 \frac{1}{3} \mathrm{~cm}^{3}$