SOLUTION: I am having difficulty comprehending how this is done. Please Help! Use the formula v= 4/3 pi r^3 1. If the radius of a ball is twice that of another, how many times as big

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I am having difficulty comprehending how this is done. Please Help! Use the formula v= 4/3 pi r^3 1. If the radius of a ball is twice that of another, how many times as big       Log On


   

Question 566148: I am having difficulty comprehending how this is done. Please Help!
Use the formula v= 4/3 pi r^3
1. If the radius of a ball is twice that of another, how many times as big is its volume?
2. If the volume is twice that if a blue ball, how many times as big is its radius?

Thank you
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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Use the formula v= 4/3 pi r^3
1. If the radius of a ball is twice that of another, how many times as big is its volume?
8 times.
V1+=+4%2Api%2Ar%5E3%2F3
V2+=+4%2Api%2A%282r%29%5E3%2F3+=+4%2Api%2A8r%5E3%2F2
The volume is related to r^3. (n*r)^3 = n^3*r^3
Volume is a function of the cube of the radius.
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2. If the volume is twice that if a blue ball, how many times as big is its radius?
Volume is a function of the cube of the radius.
I don't know about the color, but the radius is root%283%2C2%29 times.