?
The radii of two sphere are in the ratio 3 : 2. Their volumes will be in the ratio :
Answer & Solution
Correct Answer:
Option
C
Let the radii of the two spheres be 3r and 2r respectively
Then, required ratio :
$$\eqalign{ & = \frac{{\frac{4}{3}\pi {{\left( {3r} \right)}^3}}}{{\frac{4}{3}\pi {{\left( {2r} \right)}^3}}} \cr & = \frac{{27}}{8} \cr & = 27:8 \cr} $$
Then, required ratio :
$$\eqalign{ & = \frac{{\frac{4}{3}\pi {{\left( {3r} \right)}^3}}}{{\frac{4}{3}\pi {{\left( {2r} \right)}^3}}} \cr & = \frac{{27}}{8} \cr & = 27:8 \cr} $$
Join the Discussion
Login to post a comment or share your explanation.
Login