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Minimum Cost An energy drink container of the shape described in Exercise 23 must have a volume of 16 fluid ounces. The cost per square inch of constructing the top and bottom is twice the cost of constructing the lateral side. Find the dimensions that will minimize cost.
Minimum Surface Area You are designing a juice container that has the shape of a right circular cylinder. The container is supposed to hold 8 fluid ounces (1 fluid ounce is approximately 1.80469 cubic inches). Find the dimensions that will use a minimum amount of construction material.
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Chapter 3 Solutions
Bundle: Calculus: An Applied Approach, Brief, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
- A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of the container.arrow_forwardA coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.arrow_forwardWhich has a larger volume, a cube of sides of 8 feet or a sphere with a diameter of 8 feet? Explain your reasoning.arrow_forward
- The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?arrow_forwardA leather soccer ball has an inside diameter length of 8.5 in. and thickness of 0.1 in. Find the volume of leather needed for its construction. Use your calculator.arrow_forwardA beach tent is designed so that one side is open. Find the number of square feet of canvas needed to make the tent.arrow_forward
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