Suppose that eh volume of a ball is equal to Pie/6 times the volume of a cube What is the ration of the surface area of the ball to that of the cube?

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- Oct 24th 2006, 03:58 PMDragonVolume
Suppose that eh volume of a ball is equal to Pie/6 times the volume of a cube What is the ration of the surface area of the ball to that of the cube?

- Oct 24th 2006, 06:49 PMtopsquark
I must be in a crabby mood tonight.

Pet peeve warning!!

It's spelled "pi" not "pie."

Pet peeve over. :)

Okay. We know that .

We also know that

(Where "s" is the side of the cube.)

So, solve for r:

So

Sim:

Now sub in the relation for into the equation and take the ratio.

-Dan