Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package with UPS without additional fees, the sum of the length of the package and the girth of the package must be less than or equal to 90 inches, where the girth is the circular distance around the package. What is the largest surface area that her package can have?
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.
Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package with UPS without additional fees, the sum of the length of the package and the girth of the package must be less than or equal to 90 inches, where the girth is the circular distance around the package. What is the largest surface area that her package can have?
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