SOLUTION: Hello, I need some help here. I think I know what the answer is, but I don't actually know the right path or format to get to it. Could you show me step by step? This is the prob

Question 954120: Hello, I need some help here. I think I know what the answer is, but I don't actually know the right path or format to get to it. Could you show me step by step?
This is the problem: "Find the length of a radius of a sphere whose volume in cubic centimeters is equal to its surface area in square centimeters."
Thank you in advance.
Found 2 solutions by macston, hemu_da:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Volume=
Surface area=
Set equations equal and solve for r:
Divide each side by
Multiply each side by 3
ANSWER: The radius of the sphere is 3 cm.
CHECK:

Answer by hemu_da(13) (Show Source): You can put this solution on YOUR website!
Volume of a sphere is (4/3)*pi*r*r*r.
And surface area is 4*pi*r*r.
Given
.
.
volume = surface area
Hence..
.
.
(4/3)*pi*r*r*r = 4*pi*r*r
.
After solving this...
.
.
r = 3...
Ans...
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