A sphere of diameter 12 cm is dropped in a right circular cylinder vessel partly filled with water. If the sphere is completely submerged in water, the water level in the cylindrical vessel rises by 32/9cm. find the diameter of the cylindrical vessel.

Increase in the height of the cylinder due to the sphere(h)= 32/9 cm

Radius of the sphere(R) = 6 cm

Let the radius of the cylinder be r


Rise in the volume of water in cylinder = Volume of sphere

Hence the diameter is 18 cm. 

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