Mathematics -- Geometry --

A bowling ball is a solid ball with a spherical surface and diameter 30 cm. To custom fit a bowling ball for each bowler, three holes are drilled in the ball. Bowler Kris has holes drilled that are 8 cm deep and have diameters of 2 cm, 2 cm, and 3 cm. Assuming the three holes are right circular cylinders, find the number of cubic centimeters in the volume of the fitted bowling ball. Express your answer in terms of pi.

I have no idea how to do this problem, could you guys please help?

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  1. sure you have an idea.
    You know how to finds the volume of a sphere, right?
    You know how to find the volume of a cylinder, right?

    So, find the volume of each cylinder, add them up and subtract that from the volums of the sphere.

    Done. What's you get?

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  2. /i got 300-34 pi

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  3. The answer is 4466 Pi because the volume of the ball itself is 4500 pi and the volume of the three holes are 34pi. Thus, 4500pi-34pi=4466pi.

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