Multiple choice

If the radius of a cylinder is doubled and height is decreased by 25\%, find the percentage change in volume of cylinder.

  1. 80% increase

  2. 100% decrease

  3. 200% increase

  4. 150% increase

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Original volume V = πr²h. New volume = π(2r)² × 0.75h = π × 4r² × 0.75h = 3πr²h = 3V. Percentage change = (3V - V)/V × 100% = 200% increase.

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