Mathematics -- Geometry --
posted by Knights on .
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?
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?
/i got 300-34 pi
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.