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      Question

      If the radius of the base of a right circular cylinder

      is increased by 20% and the height is decreased by 30%, then what is the percentage increase/decrease in the volume?
      A Decrease 0.8% Correct Answer Incorrect Answer
      B Increase 2% Correct Answer Incorrect Answer
      C Increase 0.8% Correct Answer Incorrect Answer
      D Decrease 2% Correct Answer Incorrect Answer

      Solution

      Let the initial radius, height be r, h ⇒ New radius = r + r/5 = 6r/5 ⇒ New height = h – 3h/10 = 7h/10 ⇒ New Area = π × 36r^2/25 × 7h/10 = 252πr^2h/250 ∴% increase in Area = 2/250 x 100 = 0.8%

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