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

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Question

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

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

We consider that the radius of the base of a cylinder and a right circular cone be r and height be h.

So, The formula of volume of a cylinder = `pir^2h`

The formula of volume of a cone = `1/3 pir^2h`

Since, Volume of a cylinder = 3 × Volume of a cone

Therefore, the volume of a cylinder is three times the volume of the right circular cone.

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Chapter 13: Surface Area & Volumes - Exercise 13.2 [Page 124]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 13 Surface Area & Volumes
Exercise 13.2 | Q 6. | Page 124
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