Multiple choice

A container is formed by surmounting a hemisphere on a right circular cylinder of same radius as that of hemisphere. If the volume of the container is (576\pi) m3 and radius of cylinder is 6m, then find the height of the container.

  1. 14 m

  2. 12 m

  3. 20 m

  4. 18 m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total volume = cylinder volume + hemisphere volume. Hemisphere volume = (2/3)πr³ = (2/3)π(6)³ = 144π m³. Cylinder volume = 576π - 144π = 432π m³. Using V = πr²h, we get π(6)²h = 432π, so h = 12 m. Total height = cylinder height + hemisphere height = 12 + 6 = 18 m.

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