Answer :

Given: Diameter of a sphere: 18cm radius = = 9cm


Diameter of Cylindrical vessel: 36cm radius = = 18cm


It is given that Sphere is dropped into the cylindrical vessel containing some water.


Volume of sphere = Volume of water in Cylinder displaced (raised)


Let V1 be the volume of the Sphere


V1 = × π × (r1)3


V1 = × π × 93


Let V2 be the volume of the water displaced in the cylindrical vessel


V2 = π × (r2)2 × h (here r2 is the radius of the Cylinder and h is the level of water raised in the vessel after dropping the sphere into the cylindrical vessel)


V2 = π × 182 × h


Since V1=V2


× π × 93 = π × 182 × h


h = = = 3cm


The water level rises by 3cm when the dropped sphere is completely submerged in the cylindrical vessel.

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