A container is formed by surmounting a hemisphere on a right circular cylinder of same radius as tha...........

Quantitative Aptitude ( CCS) Mensuration 3D

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 576π m³ and radius of cylinder is 6 m, then find the height of the container.

14 m

12 m

20 m

18 m

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Explanation:

Volume of the container = Volume of the cylinder + Volume of the hemisphere
Volume of the container = π 6²h + (2/3) π 6³ = 576π
= π 36 (h + 4) = 576π
Solving we get h = 12
So the height of the container = 12 + 6 = 18 m