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Question

A cylindrical  tub of radius 12 cm contains water upto a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water  is raised by 6.75 cm . The radius of the ball is


Options:
A .  4.5 cm
B .  6 cm
C .  7.25 cm
D .  9 cm.
Answer: Option D

Let he radius  of the ball be  r cm

Volume of  ball = Volume of water displaced by it

`:.`     `4/3 pi r^3 = pi xx 12 xx 12 xx 6.75`

`rArr      r^3 = 9 xx 9 xx 9`

`rArr       r = 9 cm`



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