SOLUTION: Suppose that the volume of a sphere is numerically equal to twice the surface area of the sphere. Find the length of a radius of the sphere.

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Question 11373: Suppose that the volume of a sphere is numerically equal to twice the surface area of the sphere. Find the length of a radius of the sphere.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Set the formula for the volume of the sphere = twice the formula for the surface area of the sphere and solve for r..
%284%2F3%29%28pi%29r%5E3+=+2%284%28pi%29r%5E2%29 solve for r. Divide both sides by %28pi%29r%5E2
%284%2F3%29r+=+8 Multiply both sides by (3/4)
r+=+6