Q1 of 52 Page 160

Choose the correct alternative answer for each of the following question.

A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone.

Height of cylinder, H = 5 cm


Height of cone =h


Volume of cylinder, V = πr2H



Since cone is melted to form cylinder,


⇒ V = v



⇒ h = 3× H


⇒ h = 3 × 5


⇒ h = 15 cm


∴ Option (A) is correct

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