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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

 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: 9 | Page no. 20
Solution 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.
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