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What is the effect on the volume of a sphere if the radius is divided by 3?

User Emiguevara
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1 Answer

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For this case we have by definition, that the volume of a sphere is given by:


V = \frac {4} {3} \pi * r ^ 3

Where:

r: It is the radius of the sphere

If the radius is divided by 3 we have:


\frac {r} {3}:


V = \frac {4} {3} \pi * (\frac {r} {3}) ^ 3\\V = \frac {4} {3} \pi * \frac {r ^ 3} {27}\\V = \frac {4} {81} \pi * r ^ 3

ANswer:

the volume decreases considerably because the denominator increases

User Itsraja
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