2020 · Q73
The surface areas of two spheres are in the ratio 1:4. What is the ratio of their volumes?
Elementary MathematicsMensuration
- A1:16
- B1:12
- C1:10
- D1:8
Explanation
Surface areas 1:4 give linear ratio 1:2, hence volume ratio 1:8. Hence option (D). Since area scales as r^2 and volume as r^3, the volume ratio is the cube of 1/2.