The radii of two sphere are in the ratio 3 : 2. Their volumes will be in the ratio :
Options:
A . 9 : 4
B . 8 : 27
C . 27 : 8
D . 3 : 2
Answer: Option C Let the radii of the two spheres be 3r and 2r respectively Then, required ratio : $$\eqalign{ & = \frac{{\frac{4}{3}\pi {{\left( {3r} \right)}^3}}}{{\frac{4}{3}\pi {{\left( {2r} \right)}^3}}} \cr & = \frac{{27}}{8} \cr & = 27:8 \cr} $$
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