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Question

A conical vessel, with base radius 5 cm and height 24 cm, is full of water. This water is emptied into a cylindrical vessel of base radius 10 cm. Find the height to which the water will rise in the cylindrical vessel. (Use π=227)

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Solution

Given: Radius of a cone =r=5 cm

Height of the cone =h=24 cm

Radius of the cylinder =R=10 cm

Height of the cylinder =H=?

Volume of water in conical vessel = Volume in cylindrical vessel

13πr2h=πR2H

13π52(24)=π102H

200=100H

H=2 cm.


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