A hemispherical bowl is filled with hot water to the brim. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If diameter of the bowl is the same as that of the vessel, the volume of the hot water in the cylindrical vessel is
Explanation:
Let the height of the cylindrical vessel be 2h.
∴ Radius of the cylindrical vessel is 3h.
Also the radius of the hemispherical bowl = 3h
∴ Volume of the hemispherical bowl = 23 × π × (3h)3 = 18πh3
Volume of the cylindrical vessel = π × (3h)2 × (2h) = 18πh3
Hence the cylindrical vessel will be completely filled when the contents are transferred.
Hence, option 3.
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