RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Surface Area and Volume of a Sphere

Subject: Mathematics - Class 9th

Q. No. 29 of Exercise 21.2

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29

A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.

Volume of a cube = side3


Volume of a sphere = (4/3)πr3


Given, cube of side 4 cm contains a sphere touching its side


Radius of the sphere = 4/2 = 2 cm


Volume of the gap in between = 43 - (4/3)π × 23


Volume of the gap in between = 30.48 cm3


29

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