A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical from ball of radius 9 cm is dropped into the tub and thus the level of water is raised by h cm. What is the value of h?

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Solution

The radius of the cylindrical tub is 12cm. Upon dropping a spherical ball of radius 9cm into the tub, the height of the raised water is h cm. Therefore, the volume of the raised water is

cubic cm

The volume of the spherical ball is

cubic cm

Since, the volume of the raised water is same as the volume of the spherical ball, we have

Therefore, the height of the raised water is

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