SOLUTION: how to find the diameter of a ball that has been melted from a rectangular prism

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Question 433394: how to find the diameter of a ball that has been melted from a rectangular prism
Answer by Gersid(33) About Me  (Show Source):
You can put this solution on YOUR website!
First find the volume of the rectangular prism:
V+=+L%2AW%2AH
now set this equal to the volume of the sphere:
V+=+%284%2F3%29%28pi%29R%5E3 to get:
L%2AW%2AH+=+%284%2F3%29%28pi%29R%5E3 Solve this for R%5E3.
R%5E3+=+3L%2AW%2AH%2F4%28pi%29 Take the cube root of both sides.
R+=+%28%283L%2AW%2AH%29%2F4%28pi%29%29%5E%281%2F3%29 Now multiply by 2 to get the diameter.
D+=+2%28%283L%2AW%2AH%29%2F4%28pi%29%29%5E%281%2F3%29 Simplify.
D+=+%28%286L%2AW%2AH%29%2F%28pi%29%29%5E%281%2F3%29