SOLUTION: I found the length of one edge of a cube that had a volume of 512 and got 8. The next part of the question asks, "if a sphere fits snugly inside that cube, what is it's volume?" Ho

Algebra ->  Volume -> SOLUTION: I found the length of one edge of a cube that had a volume of 512 and got 8. The next part of the question asks, "if a sphere fits snugly inside that cube, what is it's volume?" Ho      Log On


   

Question 1117957: I found the length of one edge of a cube that had a volume of 512 and got 8. The next part of the question asks, "if a sphere fits snugly inside that cube, what is it's volume?" How would I go about finding that answer?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52838) About Me  (Show Source):
You can put this solution on YOUR website!
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Since the sphere fits snugly inside the cube, its radius is 4 units.


Next use the formula for the sphere volume  V = %284%2F3%29%2Api%2Ar%5E3 = %284%2F3%29%2A3.14%2A4%5E3.


Now use your calculator.


Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
You just found the side length of the cube, to be 8. Now you are given a sphere to fit snugly in this cube. You should immediately be able to identify the diameter of this sphere to be 8, also. Refer to the formula for volume of a sphere to continue.