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Question

# Pavan filled water in a cylindrical vessel of radius 7 cm and height 14 cm. Then he gently dropped a spherical ball of radius 0.7 cm. By how much should the height be increased if he doesn't want water to overflow when the spherical ball is dropped into it?

A
0.00934 cm
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B
0.0834 cm
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C
0.7084 cm
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D
0.894 cm
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Solution

## The correct option is A 0.00934 cmWater that will flow out will be equal to the volume of spherical ball dropped into the vessel. So, 43πr3=πR2H ⇒43 × 227 × (0.7)3=227 × (7)2 ×H ⇒H=0.00933333 cm ⇒H=0.00934 cm ∴0.00934 cm of height should be increased.

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