Q8 of 79 Page 244

A solid sphere of diameter 6 cm is dropped into a right circular cylindrical vessel with diameter 12 cm, which is partly filled with water. If the sphere is completely submerged in water, how much does the water level in the cylindrical vessel increase?

Given, Diameter of the sphere(d) = 6cm


Radius of the sphere (r) = = 3cm


Diameter of the cylindrical vessel(D) = 12 cm


radius of the cylindrical vessel (R) = = 6 cm


Let level of water raised be h cm.


Volume of the water raised in the vessel = Volume of the sphere


⇒ R2h = r3


⇒ h =


⇒ h =


⇒ h = 1 cm


Level of water raised in the vessel is 1 cm


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