A cylindrical drum is to be manufactured from a synthetic material and is to hold 547 m³ of liquid. Find the dimensions (height and radius) of the drum that will minimize the manufacturing cost. Assume the drum has a top.

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A: Topic- Application of Derivative

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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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Q: A closed rectangular box is to have a volume of 250 cubic centimeters. If the material for the top…

A: Given:  Volume=250 cm3

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A: In order to solve this problem, first we need to find the expression that represents the total cost.…

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A: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

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Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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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, width and height of the rectangular box be x,y,z, respectively. So, volume,…

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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

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Q: Find the rectangular box of maximum volume if the sum of the lengthsof the edges is 300 cm.

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Q: A box with a square base with side length b and height h and with an open top must have a volume of…

A: Question is solved.

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Q: A box with a square base and open top must have a volume of 4,000 cm³. Find the dimensions of the…

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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: Use concept of minimizing of fencing

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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: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

A: Consider a box with square base and open Top and have a volume of 4000 cubic centimeters. Let the…

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

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

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Q: A box with a square base and open top must have a volume of 32,000cm3 . Find the dimensions of the…

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Q: Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 6 cents per…

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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: 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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Q: the garden is to be 200 square feet, and the fence along the driveway costs $6 per foot while on the…

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Q: A box with a volume of 8 m3 is to be constructed with a gold-platedtop, silver-plated bottom, and…

A: Given: Volume of the cube is V=8m3. Cost of gold plating Cg=$120 per square meter. Cost of Silver…

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: To find the dimensions