SOLUTION: A spherical balloon increases in volume by 100%. By what percentage does its radius increase?

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Question 258690: A spherical balloon increases in volume by 100%. By what percentage does its radius increase?
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
V1=%284%2F3%29pi%2AR1%5E3
100% means doubled.
The new volume is now,
V2=2%2AV1=%284%2F3%29pi%2AR2%5E3
2%284%2F3%29pi%2AR1%5E3=%284%2F3%29pi%2AR2%5E3
2%2AR1%5E3=R2%5E3
R2%5E3%2FR1%5E3=2
R2%2FR1=2%5E%281%2F3%29
R2%2FR1=1.26%29
26% increase in radius.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
V+=+4%2Api%2Ar%5E3%2F3

Volume is a function of the cube of the radius.
--> The ratio of the radii is the cube root of the ratio of the volumes
2x the volume --> 2%5E%281%2F3%29r
The cube root of 2 =~ 1.26
--> a 26% increase