Question

The volume of a sphere of radius 2r is
(a) $\frac{32{\mathrm{\pi r}}^3}{3}$
(b) $\frac{16{\mathrm{\pi r}}^3}{3}$
(c) $\frac{8{\mathrm{\pi r}}^3}{3}$
(d) $\frac{64{\mathrm{\pi r}}^3}{3}$

Answer 1

(a) $\frac{32{\mathrm{\pi r}}^3}{3}$

$\mathrm{Volume}\mathrm{of}\mathrm{the}\mathrm{sphere}\mathrm{of}\mathrm{radius}2r=\frac{4}{3}\mathrm{\pi }{\left(2r\right)}^3=\frac{32}{3}\mathrm{\pi }{r}^3$