SOLUTION: The volume of a sphere is v=\frac{4}{3}\pi r^3 . If the radius of the sphere is quadrupled, what happens to the volume of the sphere? the volume of the sphere is {{{highlight(c

Algebra ->  Expressions-with-variables -> SOLUTION: The volume of a sphere is v=\frac{4}{3}\pi r^3 . If the radius of the sphere is quadrupled, what happens to the volume of the sphere? the volume of the sphere is {{{highlight(c      Log On


   

Question 1113663: The volume of a sphere is v=\frac{4}{3}\pi r^3 . If the radius of the sphere is quadrupled, what happens to the volume of the sphere?
the volume of the sphere is highlight%28cross%28multipled%29%29 multiplied by ?
Found 2 solutions by ikleyn, amalm06:
Answer by ikleyn(52833) About Me  (Show Source):
You can put this solution on YOUR website!
.
the volume of the sphere is multiplied by 4%5E3 = 64.


Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
Choose two cases.

Case 1: r=1. Then V1=(4/3)/pi

Case 2: r=4. Then V2=(4/3)/64pi

Clearly, V2/V1=64, so the volume increases by a factor of 4%5E3 (Answer)