Hope N.

# A sector with central angle θ is cut from a circle of radius R = 24 inches, and the edges of the sector are brought together to form a cone.

A sector with central angle θ is cut from a circle of radius R = 24 inches (see figure), and the edges of the sector are brought together to form a cone. Find the magnitude of θ such that the volume of the cone is a maximum.

Andy C.

Imagine taking a slice of pizza out of the pizza box and folding it so as to
form a cone, as stated in the problem.

It will not be a cone. The circular edge prevents it from being a cone.
It must be stated that portion of the arc of the sector can be ignored.

Please provide the figure of the solid of which the volume is to be maximized
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07/11/18