SOLUTION: A spherical balloon increases in volume by 100%. By what percentage does its radius increase?
Algebra.Com
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) (Show Source): You can put this solution on YOUR website!
100% means doubled.
The new volume is now,
26% increase in radius.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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 -->
The cube root of 2 =~ 1.26
--> a 26% increase
RELATED QUESTIONS
If the side of a cube increases in size by 5%, then by what percentage does the volume... (answered by ewatrrr)
The radius of a spherical balloon is tripled. What is the increase in volume, as a... (answered by Alan3354)
A person inflates a balloon. Assume that the balloon is spherical and that the person is... (answered by Alan3354)
In order to double the capacity of a spherical balloon, by what percentage must the area... (answered by htmentor)
If the side of a cube increases in size by 9%, then by what percentage does the surface... (answered by Finavon,stanbon)
if the volume of a right circular cone increases by 33.1% to form a similar cone, find... (answered by Alan3354)
Very confused on how to solve this related rates problem:
Suppose a spherical balloon... (answered by rothauserc)
The volume of a sphere is increased by 72.8%. What is the percentage increase in the... (answered by greenestamps)
The radius of a sphere is increased by 2.5%.find the percentage increase in the... (answered by Alan3354)