Given: A hemispherical bowl is filled to the brim with water. The content of the bowl i.e. water is transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is the same for both the bowl and the cylinder, find the volume of water in the cylindrical vessel.
(A)
33.33%
(B)
66.66%
(C)
50%
(D)
100%
Answer: (D)
Explanation:
Let the height of the vessel be h. Then, Radius of the bowl = h/2 Radius of the vessel = h/2 And, Volume of the bowl = 2/3 * Pi * (h/2)^3 = 1/12 * Pi * h^3 Volume of the vessel = Pi * (h/2)^2 * h = 1/4 * Pi * h^3 As the volume of the vessel is 3 times more than that of the bowl, it can contain 100% of water.
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