SOLUTION: If the volume of a sphere is pi/6, then its diameter is?

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Question 409007: If the volume of a sphere is pi/6, then its diameter is?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
he volume V of a sphere (a ball) with radius r:

V+=+%284%2F3%29%28pi%29r%5E3

V+=+%284%28pi%29r%5E3%29%2F3
3V+=+4%28pi%29r%5E3

r%5E3+=++3V%2F4%28pi%29



if V+=+%28pi%29%2F6, then radius

r%5E3+=++3%28%28pi%29%2F6%29%2F4%28pi%29

r%5E3+=++%283%28pi%29%2F6%29%2F%284%28pi%29%2F1%29

r%5E3+=++3%28pi%29%2F%284%2A6%28pi%29%29

r%5E3+=++cross%283%29cross%28%28pi%29%29%2F%284%2Across%286%292cross%28%28pi%29%29%29

r%5E3+=++1%2F%284%2A2%29

r%5E3+=++1%2F%282%2A2%2A2%29

r%5E3+=++1%2F2%5E3

r+=++root%283%2C1%2F2%5E3%29

r+=++1%2F2