Question

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 $\pi$.

Answer 1

(4/3)π(15³) - (8π(1² + 1² + 1.5²)) =

(4,500 - 34)π = 4,466π cm³