Multiple choice

If the radius of a right circular cylinder is increased by $50\%$ and height is decreased by $20\%$, then the percentage change in volume of cylinder is

  1. $40\%$
  2. $50\%$
  3. $60\%$
  4. $80\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume V = pi*r^2*h. New radius r' = 1.5r, new height h' = 0.8h. New volume V' = pi*(1.5r)^2*(0.8h) = pi*2.25*r^2*0.8*h = 1.8*V. Increase = 80%.

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