2015 · Q59
If the radius of a sphere is increased by 10%, then the volume will be increased by
Elementary MathematicsMensuration
- A33.1%
- B30%
- C50%
- D10%
Explanation
This tests cubic scaling of volume. Volume scales as the cube of linear dimensions: (1.1)³ = 1.331, so the volume increases by 33.1%. Option (b) 30% is the trap from linear thinking (3 × 10%); the extra 3.1% is the compounding of the increase across three dimensions. Hence option (a).