Hint to the Cone Inscribed in the Sphere Problem© 2001 by Karl Hahn |
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This is typical of the diagram you would make to solve this problem. The first trigonometric step is done for you. Try to take it from here and come up with expressions for r and h in terms of R and θ. Substitute those expressions for r and h into the formula for the volume of a cone. Then see where you can go from there.
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