A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.04 cents per square centimeter. The top will be made of glued paper, costing 0.08 cents per square centimeter. Find the dimensions for the package that will minimize production cost.

Q: An open rectangular box with square ends to hold 6400 cu ft, is to be built at a cost of $75 per sq…

A: Given that, An open rectangular box with square ends to hold 6400 cu ft. Thus, V= x2 y. 6400 = x2y…

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A: This question is related to mensuration.

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A: To find the dimension of the storage box that will minimize the cost.

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Q: An open rectangular box with square ends to hold 6400 cu ft., is to be built at a cost of $0.75 per…

A: The rectangular box is square at base and opened at top.So we will not be involving top of the box…

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A: Given: Volume = 1 cubic foot

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A: Given- The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular…

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Q: A can in the shape of a right circular cylinder is required to have a volume of 500 cubic…

A: The radius= r Height= h So the volume is:  V=πr2h500=πr2hFrom here we get:h=500πr2

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A: I am going to solve the given problem by using some simple algebra to get the required result.

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A: Let the length of the shed be l ft, width be b ft and height be h ft.Use the volume to find h in…

Q: Your company needs to design cylindrical metal containers with a volume of 16 cubic feet. The top…

A: let radius of cylindrical container =r and the height of cylindrical container =h Volume V=πr2h=16…

Q: What are the dimensions of an open-top right circular cylindrical can that will hold a volume of 512…

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Q: A rectangular parking area measuring 5000 ft? is to be enclosed on three sides using chain-link…

A: The explanation of answer as follows

Q: A box with a square base and a closed top has a volume of 20 cubic ft. the cost of material for the…

A: Given:     Volume of square base = 20 cubic feet.…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350…

A: Given Data: The volume of the cylinder is: V=350 cm3 The cost of sides and bottom of the container…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 500…

A: The volume of cylinder has to be 500 cubic cm Side and bottom material cost is 0.03 cents per square…

Q: A cylindrical container that is open at the top is to be made from two kinds of material. The…

A: Let r be the radius of the container and h be the height of the container. Note that, the formula…

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Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will…

A: Given- The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular…

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A: It is given that the bucket manufactured by the company are cylindrical in shape without a lid…

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Q: A cylindrical container that is open at the top is to be made from two kinds of material. The…

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Q: The cost of producing an ordinary cylindrical tin can is determined by the materials used for the…

A: Given:       Volume =1000 cm3       Volume of cylindrical tin V=πr2h      then,            πr2h=1000…

Q: $24 is available to make a rectangular storage container with a square base and open top. If the…

A: We use second derivative test to find out dimensions of container where volume is largest

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Q: Find the minimum cost of a rectangular box that is three times as long as it is wide and which holds…

A: Consider the dimension of rectangular box be x, 3x, and h. Then, volume is given by V=x×3x×h  =3x2h…

Q: A rectangular box is to have a square base and a volume of 20 ft³. If the material for the base…

A: Given, Rectangular box is to have a square base and a volume of 20 ft3  The material for the base…

Q: A cylindrical container that is open at the top is to be made from two kinds of material. The…

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Q: Your team has contracted to design and build a 500 ft³, square-based, open-top, rectangular steal…

A: surface area of rectangular field = A=4×length×height+length×breadth. Volume of rectangular field:…

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A: Jewelry box having specification; square base, Let the side of square base = a cm.…

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A: To find extremas of function, first, we need to calculate critical points. Those points at which the…

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Q: A company wants to come up with a package box that has a square base a volume of 125 cubic ft. What…

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Q: A rectangular box without a lid is made with a material cost of $10.00. If the material for the…

A: Using AM GM INEQUALITY