- A Microwaveable Cup Of Soup Package Needs To Be Constructed In The Shape Of Cylinder To Hold 600 Cubic Centimeters Of So 1 (114.52 KiB) Viewed 12 times
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600 cubic centimeters of so
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A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600 cubic centimeters of so
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h : height of cylinder, r: radius of cylinder Volume of a cylinder: V Area of the sides: A = Height: = Minimum cost: πr² h Area of the top/bottom: A пре = · 2πrh To minimize the cost of the package: Radius: cm cm cents