By coincidence, the large plastic soda bottle was invented right around the time that the US was seriously flirting with a conversion to metric. Compare your answer in part(a) to a real soda can, which has a volume of 354 cma radius of 3.1 am, and a height of 12.0cm to conclude that real soda cans do not seem to have an optimal design. So it was introduced in a 2 liter size instead of a half gallon size. a. What are the dimensions of a beer can? By the way, you may have noticed that the radius is about ½ the height. Why did soda cans change shape? For the 16 oz cans , our standard is a height of 5 inches. I could also buy a can of Coke (12 fluid ounces) and simply read off the side of the can to get the metric measure in cubic centimeters ( 355 mL = 355 cu cm ). The table below lists some common can sizes. find the radius and height of a cylindrical soda can with a volume of 354 cm^3 that minimize the surface area. ? I measured about 3.2 cm radius and 12.7 cm height on a can of Barq’s root beer, including the top and bottom extensions. Answer by Mathtut(3670) ( Show Source ): (a) Find the radius and height of a cylindrical soda can with a volume of 354 cm 3 that minimizes the surface area. (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)). Draining a soda can A cylindrical soda can has a radius of $4 \mathrm{cm}$ and a height of $12 \mathrm{cm} .$ When the can is full of soda, the center of mass of the contents of the can is $6 \mathrm{cm}$ above the base on the axis of the can (halfway along the axis of the can). 12.2 cm tall . 2½ but only half the height. a 2 liter bottle is about 30 cm in height. Find the radius and height of a cylindrical soda can with a volume of 354 cm that minimize the surface area b. Volume can be expressed numerous ways. Problem 63 Easy Difficulty. A. W. Bitting and K. G. Bitting. Using cooking measurements I could say a can of 12 fluid ounces is equivalent to one and a half cups. What dimensions should the cylinder be to minimize the material needed to produce the can? How tall is a Coke can cm? ... Width:2.31 inches (58.6 mm)Depth:0.37 inch (9.3 mm)Weight:4.8 ounces (137 grams) Roughly the Height of A soda can. then calculate the surface area. A standard soda can is roughly cylindrical and holds 355 {eq}cm^3 {/eq} of liquid. (a) How many significant… A uniform soda can of mass 0.140 kg is 12.0 cm tall and filled with 1.31 kg of soda. What is the point of changing ? For the 12 oz cans , our standard is a height of 3.625 inches (3 5/8 in). Because a real soda can is not exactly cylindrical, you can’t expect perfect agreement with these figures. What is the height (h) of the COM of the can and contents :- (a) Initially (b) After the can loses all the soda (c) What happens to h as the soda drains out? Then small holes are drilled in the top and bottom (with negligible loss of metal) to drain the soda. BOTTLE HEIGHT (cm) 33.2: BOTTLE DIAMETER (cm) 8.9: BOTTLE WEIGHT (Kg) 1.610: Why is soda sold in 2 liter bottles? a soda can that has a height of 12 centimeters and a diamter of 6 centimeters find the total surface area . Solution for The outside dimensions of a cylindrical soda can are reported as 12.559 cm for the diameter and 5.62 cm for the height. The height of a 150-milliliter soda can, one of the smallest soda can sizes, is 3.48 inches, with a diameter of 1.97 inches on the end and 2.1 inches at the widest point of the body.
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