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agnibho
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Homework Statement
A right circular cone of diameter r cm and height 12 cm rests on the base of right circular cylinder of radius r cm. their bases are in the same plane and the cylinder is filled with water up to a height of 12 cm. If the cone is then removed, find the height to which water level will fall
Homework Equations
The Attempt at a Solution
Radius of base of cone = r/2 cm Radius of the cylinder = r cm
Height of conical portion = 12 cm
or, Height of water in cylinder before cone taken out = 12 cm
Therefore, volume of water left in the cylinder when cone is taken out = πr2(12)- 1/3π(r/2)2*12 = πr2*11
Therefore, height of water left in cylinder = 11 cm