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Multiple choice

Radius of a sphere is increased by 15%. Find the percentage change in its volume (Approx)

  1. 24%

  2. 41%

  3. 15%

  4. 52%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of sphere = (4/3)πr³. When radius increases by 15%, new radius = 1.15r. New volume = (4/3)π(1.15r)³ = 1.15³ × original volume ≈ 1.521 × original. Percentage increase = (1.521 - 1) × 100 ≈ 52%.

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