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A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl?

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answer is A.

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Detailed Solution

Given that, the liquid in the hemispherical bowl having radius 9cm is to be filled into cylindrical shaped bottles with radius 1.5cm and height 4cm.
Let us assume n is the number of bottles.
We know the volume of the hemisphere of radius r is

23 π r 3

.
So, number of bottles:

n × π r 2 h = 23 π r 3 n × 1.5 2 × 4 = 23 × 93 n = 2 × 9 × 9 × 9 1.5 × 1.5 × 3 × 4 n = 54

Therefore, 1 is the correct option.

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