A A rectonqular sheet ot alum:inum has perimeter. 36 ft and dimensicns x ft by yft. The sheet 13 to be rolled' into the shape of a circular cylınder having Circumference x ft Determine the that will) maximize the of the as shown. values of' x and y volume circular cylinder. a) write an equation for the per r imeter of the sheet in terms x and y . b) Determine a formula for the volume of the cylinder that depends on on ly x. (ス= 2r-) c) Analyze the derivative of the volume function to determine the dimenslons of eylinder having maximum valume.

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Q: 3.

A: this is convex polygon

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.