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We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.
We know that volume of cone is .
The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:
Upon substituting in volume of cone, we will get:
We know that volume of sphere is .
Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.
Since , so volume of sphere would be:
Therefore, volume of sphere would be 226.08 cubic mm.