SOLUTION: what is the volume of the biggest possible sphere that can be made out of a wooden cube whose side is 20 cm/

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Question 500243: what is the volume of the biggest possible sphere that can be made out of a wooden cube whose side is 20 cm/

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Since the side of the cube is 20 cm, then the maximum diameter of the sphere will be 20 cm, and its radius 10cm,
As we know the volume of the sphere is given by the formula V=%284%2F3%29%2A%28pi%29%2AR%5E3
Substituting in the above formula we get:
V=%284%2F3%29%2A%28pi%29%2A10%5E3=4000%2A%28pi%29%2F3, approximately V=4187 cm^3.