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A Cube of Side 4 Cm Contains a Sphere Touching Its Side. Find the Volume of the Gap in Between. - CBSE Class 9 - Mathematics

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Question

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

Solution

It is given that
Cube side = 4cm
Volume of cube =`(4cm)^3= 64cm^3`
Diameter of the sphere = Length of the side of the cube = 4cm
∴ Radius of sphere = 2cm
Volume of the sphere `=4/3πr^3 =4/3xx22/7xx(2)^3=33.52cm^3`

∴ Volume of gap = Volume of gap – Volume of sphere
=`64cm^2-33.52cm^3=30.48cm^3`

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 21: Surface Areas and Volume of a Sphere
Ex.21.20 | Q: 21 | Page no. 21
Solution A Cube of Side 4 Cm Contains a Sphere Touching Its Side. Find the Volume of the Gap in Between. Concept: Volume of a Sphere.
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