The radii of two sphere are in the ratio 3 : 2. Their volumes will be in the ratio :

A. 9 : 4

B. 8 : 27

C. 27 : 8

D. 3 : 2

Answer: Option C

Solution(By Examveda Team)

Let the radii of the two spheres be 3r and 2r respectively
Then, required ratio :
$$\eqalign{ & = \frac{{\frac{4}{3}\pi {{\left( {3r} \right)}^3}}}{{\frac{4}{3}\pi {{\left( {2r} \right)}^3}}} \cr & = \frac{{27}}{8} \cr & = 27:8 \cr} $$