A vessel in the shape of a cuboid contains some water. If three identical spheres are immersed in the water, the level of water is increased by 2 cm. If the area of the base of the cuboid is 160 cm2 and its height 12 cm, determine the radius of any of the spheres.

Given that area of cuboid =160 cm2


Level of water is increased = 2 cm


Volume of vessel =160× 2 cm3 ……. (1)


Volume of each sphere 3


Volume of 3 sphere 3 ……. (2)


From eq 1 and eq 2


3×(4/3) π R3 = 160× 2



R = 2.94 cm


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