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

Answer 1

(c) $1437\frac{1}{3}{\mathrm{cm}}^3$
Volume of the sphere$=\frac{4}{3}\mathrm{\pi }{r}^3$

$$\begin{gathered} =\left(\frac{4}{3}\times \frac{22}{7}\times 7\times 7\times 7\right){\text{cm}}^3\left[d=14\text{cm⇒}r=\frac{14}{2}\text{cm}=7\text{cm}\right] \\ =\frac{4312}{3}{\text{cm}}^3 \\ =1437\frac{1}{3}{\text{cm}}^3 \end{gathered}$$