2017 · Q82
If the radius of a right circular cone is increased by p% without increasing its height, then what is the percentage increase in the volume of the cone ?
Elementary MathematicsMensuration
- Ap²
- B2p²
- Cp²/100
- Dp(2 + p/100)
Explanation
V ∝ r²; r → r(1 + p/100) multiplies V by (1 + p/100)² = 1 + 2p/100 + p²/10000. Percentage increase = 2p + p²/100 = p(2 + p/100): option D.