A plastic conical ornament has a right cylinder encased in it, starting from the base, such that the top edge of the cylinder is always touching the curved surface of the cone. The cylinder is completely filled with another plastic resin material. The cone has a fixed radius of 9cm and height 12cm. Given that the radius of the cylinder is r and height is h, show that the volume (v in cm^3) of the cylinder is (9/16)(pi)(x)(12-x)^2

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dbzfan836 · Answer

What is it?

anonymous · Answer

sorry I tried to post a picture of the question but it didnt work for some reason

dbzfan836 · Answer

that would be too hard to answer something like this without a pic...

dbzfan836 · Answer

type @ mathmale [with the @ attached to the name].

anonymous · Answer

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anonymous · Answer

attachment

mathmale · Answer

Our job is to determine how the cone's dimensions constrain the dimensions of the cylinder.  We're not asked to find the actual volume of the cylinder, but only how its volume can be written as a function of x only:   v=f(x)