The volume of a sphere of radius 2r is

Question:

The volume of a sphere of radius 2r is

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

(b) $\frac{16 \pi r^{3}}{3}$

(c) $\frac{8 \pi r^{3}}{3}$

(d) $\frac{64 \pi r^{3}}{3}$

Solution:

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

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

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