I'm not. This was a challenge posed to me, by my calc teacher. I need some help, and decided to come here. Please understand that this isn't homework, it's not even extra credit, it's just a challenging problem.
I could really use some help, if you, or anyone, could offer it.
Let the radius of the circle be R, and the angle, after removing the wedge, be t radians.
Let the radius of the cone be r.
Let the height of the cone be h.
Let the volume of the cone be V.
2(pi)r = 2(pi)R * (t / [2(pi)])
r^2 + h^2 = R^2
V = (1/3)(pi)(r^2)hSolve each equation for a single...
Suppose you wanted to make an ice cream cone that would hold as much ice cream as possible (do not assume ice cream comes in spheres).
Challenge I
Cut a wedge from a circle and remove it. From the remaining piece of the circle into a cone. Find the angle of the wedge that produces the cone...