SOLUTION: The figure below shows a cylinder of diameter 12 cm and height 15 cm. A hole in the shape of the cone is bored into one of its ends. If the cone has the diameter equal to half of t

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Question 914501: The figure below shows a cylinder of diameter 12 cm and height 15 cm. A hole in the shape of the cone is bored into one of its ends. If the cone has the diameter equal to half of the diameter of the cylinder, find the volume of the remaining solid
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
h, height of the cylinder
y, height of the cone:
r, radius of the cylinder
r/2, radius of the cone

volume of remaining solid is vol of cylinder minus vol of cone.

Simplify, and then substitute the values. Evaluate.

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