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