Q7 of 79 Page 244

A right circular conical vessel whose internal radius is 5 cm and height is 24 cm is full of water. The water is emptied into an empty cylindrical vessel with internal radius 10 cm. Find the height of the water level in the cylindrical vessel.

Given, Radius of right circular conical vessel(r) = 5 cm


Height of right circular conical vessel(h) = 24 cm


Radius of cylinder(R) = 10 cm


Height of cylinder(H) = ?


As water is emptied into an empty cylindrical vessel,


Volume of right circular cone = Volume of cylinder


⇒ r2h = R2H


⇒ (5)224 = (10)2H


⇒ H =


⇒ H = 2 cm


Height of the water level in the cylindrical vessel is 2 cm.


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