B. Here is a sketch of the can A cylindrical can (with lid) is required to have a volume of 8000 cm3 . Classical problem Find the radius and height of a cylindrical soda can with a volume of $354 \mathrm{cm}^{3}$ that minimize the surface area. Get the detailed answer: Find the radius and height of a cylindrical soda can of volume that minimizes the surface area of the soda can. Switch to. Solution: Let r and h denote the radius and height of the can. find the radius and height of a cylindrical soda can with a volume of 354 cm^3 that minimize the surface area.? Is the can more costly to construct than a closed cubic container of the same volume and … Compare Your Answer In Part (a) To A Real Soda Can, Which Has A Volume Of 398 Cm. That Minimize The Surface Area B. b. Favorite Answer. A Radius Of 3.1 Cm, And A Height Of 135 Cm, To Conclude That Real Soda Cans Do Not Seem To Have An Optimal Design. A cylindrical can is to have a volume of 400 cm3. Find the radius and height of a cylindrical soda can with a volume of 376 cm3 that minimize the surface area. Question: A. Find the radius and height of a cylindrical soda can with a volume of 412 cm2 that minimize the suface area. Find The Radius And Height Of A Cylindrical Soda Can With A Volume Of 398 Cm. (b) Use the fact that real soda cans have a double thickness in their top and bottom surfaces to find the radius and height that minimize the surface area of a real can (the surface areas of the top and bottom are now twice their values in part (a)). Dragon.Jade. Find the dimensions (height and radius) of the can so as to minimize its total surface area. Hello, Surface area of a cylinder of radius R and height H: S = 2πR² + 2πRH = 2πR(R + H) Volume of a cylinder of radius R and height H: Using calculus, determine the dimensions that minimize the surface area (and hence cost) of the can. Lv 7. Your dashboard and recommendations. … Homework Help. Personalized courses, with or without credits. Find the radius and height of a cylindrical soda can with a volume of 256cm^3 that minimize the surface area. 4.4.45 Help a. A manufacturer wishes to find the dimensions of the can with the minimum surface area. Booster Classes. Answer Save. Compare your answer in part (a) to a real soda can, which has a volume of 376 cm", a radius of 3.1 cm, and a height of 12.7 cm, to conclude that real soda cans do … a. 6. A. Compare your answer in part (a) to a real soda can, which has a volume of 412 cm3, a radius of 3.1 cm, and a height of 14.0 cm, to conclude that real soda cans do not seem to have an optimal design. The surface area including the top and bottom is given by Home. (The surface area comprises the top and bottom and the lateral surface.) Question 164175: a cylindrical soda pop can of radius r and height h is to be manufactured to hold exactly 500 milliliters of liquid when completely full. (a) Find the radius and height of a cylindrical soda can with a volume of 354 cm 3 that minimizes the surface area. b. Let r be the radius of the cylinder and h be its height. 1 Answer. 9 years ago. Find the radius and height of a cylindrical soda can with a volume of 225 {eq}cm^3 {/eq} that minimise the surface area. Relevance. B: Compare your answer in part A to a real soda can, which has a volume of 256cm^3, a radius of 2.8 cm, and a height of 10.7 cm, to conclude that real soda cans do not seem to have an optimal design. A typical calculus optimization question asks you to find the dimensions of a cylindrical soda can with a fixed volume that has a minimum surface area (and therefore is cheaper to manufacture). A cylindrical can is to hold 20 m^3 The material for the top and bottom costs $10/m^2 and material for the side costs $8/m^2 Find the radius r and height h of the most economical can. Your task is to numerically, algebraically and … The volume, V, is constant and .

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