A sphere is enlarged so that its new volume is 8 times greater than its original. If the original volume was 36π, by how much did the original radius increase?
Select one:
A. 1
B. 2
C. 3
D. 4

Question

A sphere is enlarged so that its new volume is 8 times greater than its original. If the original volume was 36π, by how much did the original radius increase?
Select one:
A. 1
B. 2
C. 3
D. 4

lasttccasey · Answer

Well to start, what is the volume of a sphere?

anonymous · Answer

904.2

anonymous · Answer

.32*

lasttccasey · Answer

That's the volume of the sphere which is 8 times the original sphere, also equal to 288π. Do you know what the standard equation for a sphere is though? You will need this to solve the problem.

anonymous · Answer

idk

lasttccasey · Answer

http://lmgtfy.com/?q=volume+of+a+sphere

lasttccasey · Answer

$$V = \frac{ 4 }{ 3 }\pi r^3$$is what you will need. V is the 32π and 288π, you can use the equation to solve for the two 'r' values. Once you get them you can simply divide them to see by how much the original radius increased. Does this make sense?