Postal regulations specify that a package sent by a certain shipping method may have a combined length and girth of no more than 96 in. Find the dimensions of a cylindrical package with the greatest volume that may be sent by this shipping method. Hint: The length plus the girth is 2πr + l. (Round your answers to three decimal places.)
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.
Postal regulations specify that a package sent by a certain shipping method may have a combined length and girth of no more than 96 in. Find the dimensions of a cylindrical package with the greatest volume that may be sent by this shipping method. Hint: The length plus the girth is 2πr + l. (Round your answers to three decimal places.)
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