Need help asap! Math question.?

A small cone has a vertex touching the base of a large cone. The base of the small cone is parallel to the base of the larger cone. a.) Find h and r so that the smaller cone has a maximum volume. b.) State the maximum volume c.) explain how you know whether your answer is reasonable or not. (Larger cone has a... show more A small cone has a vertex touching the base of a large cone. The base of the small cone is parallel to the base of the larger cone.
a.) Find h and r so that the smaller cone has a maximum volume.
b.) State the maximum volume
c.) explain how you know whether your answer is reasonable or not.

(Larger cone has a radius of 9cm, with a height of 15cm. h is the height of the smaller cone, r is the radius of the smaller cone)
Update: *The Smaller cone is inside the larger cone. The base of the larger cone is facing the bottom, the smaller cone is face up. There are no restrictions mentioned in this question.*
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