RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Surface Area and Volume of a Sphere

Subject: Mathematics - Class 9th

Q. No. 28 of Exercise 21.2

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28

A sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere. Find the ratio of their volumes.

Volume of a sphere = (4/3)πr3


Volume of a right circular cone = (1/3)πr2h


Volume of a cylinder = πr2h


Given, sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere


Height of cone and cylinder = 2r


Ratio of their volumes = (4/3)πr3 : πr2h : (1/3)πr2h


Ratio of their volumes = 4r3 : 6r3 : 2r3 = 2 : 3 : 1


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