A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 500 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.09 cents per square centimeter. Find the dimensions for the package that will minimize production cost.

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550…

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

A:

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A: Given, the volume of cup = 300 cubic centimeters. V= πr2h⇒300=πr2h⇒h = 300πr2 . . . . . . .1

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600…

A: The volume of the cup is The sides and the bottom cost  and the top cost

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…

A: Given: The volume of the cylindrical cup is 450 cubic centimeters. The sides and the bottom cost…

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.