SOLUTION: If the diameter of a sphere is increased by 31% by what percentage of the original volume does the sphere increase to?

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Question 833316: If the diameter of a sphere is increased by 31% by what percentage of the original volume does the sphere increase to?

Answer by Alan3354(69443) About Me  (Show Source):
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If the diameter of a sphere is increased by 31% by what percentage of the original volume does the sphere increase to?
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You can only spec the increased volume in terms of the original volume.
d --> d*1.31 (also r)
The formula for volume has an r^3 term --> it's a function of the cube of the radius.
Vol --> vol*1.31^3
= vol*2.248091
An increase of ~125%