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CBSE Class 9 Answered

Respected Sir/Madam,
Kindly provide me the detailed explanation to the question.
If the radius of a sphere is doubled, its volume will become how many times its original volume?
Asked by apoorva2000ojha | 08 Jan, 2015, 06:01: PM
answered-by-expert Expert Answer
Let space the space original space radius space of space the space sphere space be space apostrophe straight r apostrophe New space radius space equals space 2 straight r Original space volume space of space the space sphere comma straight V space equals space 4 over 3 πr cubed New space Volume space of space the space sphere comma space straight V apostrophe space equals space 4 over 3 straight pi left parenthesis 2 straight r right parenthesis cubed equals 32 over 3 πr cubed fraction numerator straight V apostrophe over denominator straight V end fraction equals fraction numerator 32 over 3 πr cubed over denominator 4 over 3 πr cubed end fraction equals fraction numerator 8 cross times 4 over 3 πr cubed over denominator 4 over 3 πr cubed end fraction equals 8 over 1 therefore fraction numerator straight V apostrophe over denominator straight V end fraction equals 8 rightwards double arrow straight V apostrophe equals 8 straight V New space Volume space equals space 8 space cross times space Original space Volume
Answered by Prasenjit Paul | 09 Jan, 2015, 09:00: AM

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