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      Question

      The diameter of a sphere is increased by 30%. What is

      the percentage increase in its volume?
      A 69% Correct Answer Incorrect Answer
      B 119.7% Correct Answer Incorrect Answer
      C 41.7% Correct Answer Incorrect Answer
      D 90.5% Correct Answer Incorrect Answer

      Solution

      Let the initial radius be r Initial V = 4/3(πι³) Changed radius = 1.30r Changed V = 4/3[π (1.30r)3] = 2.197 × 4/3(πι³) Percent increase in its volume = [{2.197 × 4/3(πr³) - 4/3(πr³)}/4/3(πr³)] × 100  Percent increase in its volume = 119.7%

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