Question
A hemispherical bowl is filled to the brim with a beverage . The contents of the bowl any transferred into a cylindrical
vessel whose radius is 50% more than its height . If the diameter is same for both he bowl and the cylinder, the volume of the beverage in he cylindrical vessel is :
Answer: Option C
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Let the height of the vessel be `x` . Then , radius of the bowl = radius of the vessel = `x/2`
Volume of the bowl, `V_1 = 2/3 pi (x/2)^3 = 1/12 pi x^3`
Volume of the vessel , ` V_2 = pi (x/2)^2 x = = 1/4 pi x^3`
Since `V_2 > V_1` so the vessel can contain 100 % of the beverage filled in he bowl .
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