A manufacturing plant produces the cardboard cut outs that willbe used to wrap ice cream cones. Circles with a radius of 6 inchesare punched out of a sheet of cardboard. Next, a sector of thecircle must be cut out from the circle so that the cardboard can berolled up into a cone. To determine the angle of the sector thatneeds to be cut out to maximum the volume of the cone, one mustcalculate the radius and height of the cone that yields the maximumradius. (Reminder: your final answer should include an angle,radius and height).
