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Solution for If the Radius of a Sphere is Doubled, What is the Ratio of the Volume of the First Sphere to that of the Second Sphere? - CBSE Class 9 - Mathematics

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Question

If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere?

Solution

Let `V_1` and `V_2` be the volumes of first sphere and second sphere respectively
Radius of `1^"st"` sphere = r
`2^"nd"` sphere radius = 2r 

∴ `(Volume  1^"st")/(volume  2^"nd")=(4/3πr^3)/(4/3π(2r)^3)=1/8`

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APPEARS IN

 R.D. Sharma Mathematics for Class 9 by R D Sharma (2018-19 Session) (with solutions)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Q: 9
Solution for question: If the Radius of a Sphere is Doubled, What is the Ratio of the Volume of the First Sphere to that of the Second Sphere? concept: Volume of a Sphere. For the course CBSE
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