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A cylindrical vessel of radius 6 cm contains water. How many spherical balls of radius 1.5 cm must be dropped in to raise the water level by 4 cm?

Competition practiceMensuration

A16
B32
C24
D48

Step-by-Step Solution

Water displaced

= π \times 36 \times 4 = 144 π

. One ball

= \frac{4}{3} π (1.5)^{3} = 4.5 π .144 \div 4.5 = 32

.

Answer: B) 32

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