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

Algebra ->  Volume -> 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      Log On


   

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) About Me  (Show Source):
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h, height of the cylinder
y, height of the cone: 0%3Cy%3C=h
r, radius of the cylinder
r/2, radius of the cone

volume of remaining solid is vol of cylinder minus vol of cone.
h%28pi%29r%5E2-%281%2F3%29y%28pi%29%28r%2F2%29%5E2
Simplify, and then substitute the values. Evaluate.