SOLUTION: A right circular cylinder is inscribed in a cone with a height of 20 cm and base radius of 15 cm. If r is the radius of the base of the cylinder, express the volume of the cylinder

Algebra ->  Functions -> SOLUTION: A right circular cylinder is inscribed in a cone with a height of 20 cm and base radius of 15 cm. If r is the radius of the base of the cylinder, express the volume of the cylinder      Log On


   

Question 1041662: A right circular cylinder is inscribed in a cone with a height of 20 cm and base radius of 15 cm. If r is the radius of the base of the cylinder, express the volume of the cylinder as a function of r.
Answer by Alan3354(69443) About Me  (Show Source):
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A right circular cylinder is inscribed in a cone with a height of 20 cm and base radius of 15 cm. If r is the radius of the base of the cylinder, express the volume of the cylinder as a function of r.
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Find the height of the cylinder in terms of r.
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h/20 = (15-r)/15
h = 20 - 4r/3
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Vol of cyl = pi*r^2*h
V+=+20pi%2Ar%5E2+-+4r%5E3%2Api%2F3 0 < r < 15
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Note that the 1st term shows r^2 --> area in sq cms.
The 20 has units of cms also --> cc of volume.