# ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration

Question 3 Mensuration Exercise 17.2

Take π = 22/7 unless stated otherwise.

Write whether the following statements are true or false. Justify your answer.

A cylinder and a right circular cone are having the same base radius and same height. The volume of the cylinder is three times the volume of the cone.

Solution:

Assume that a cone has a height of "h" and a circular base with radius "r." This cone will have a volume that is one-third of the product of the base's area and its height.

Height of cylinder = height of cone

Volume of cylinder =π r2h

Volume of cone = (1/3)π r2h

The volume of the cylinder is three times the volume of the cone.

So given statement is true.

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