text: calculus exploration: constructing cones? a cone of height h and radius r is constructed from a flat, circular disk of radius 4 in. by removing sector aoc of arc length x in. and then connecting the edges oa and oc.  what arc length x will produce the cone of maximum volume?  what is that volume? (see link below for diagram)  http://img.photobucket.com/albums/v62/kawaiitenshi/yahooanswer1.jpg  1. show that: (please see link below, the problems are drawn out to avoid any confusion)  http://img.photobucket.com/albums/v62/kawaiitenshi/yahooanswers2.jpg  2. show that the natural domain of v is 0 <or= x <or= 16pi.  3. explain why the restriction 0 <or= x <or= 8pi makes sense in the problem situation.  4. use graphical methods to find where the cone has its maximum volume, and what the volume is.  5. confirm your findings in part 4 analytically.    any insight with this problem is greatly appreciated.  thank you in advance. isn't homework a pain? the outline is already there, so i can't see how you need anything else. the formulas for r and h are clear from the pictures. do a little thinking.....