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
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(52847) (Show Source): You can put this solution on YOUR website! .
Since the sphere fits snugly inside the cube, its radius is 4 units.
Next use the formula for the sphere volume V = = .
Now use your calculator.
Answer by josgarithmetic(39625) (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.