2. An Aquarium glass: A new aquarium is designing acentral tank. It will be either a cylinder or a squarebased prism that is in the center of the building,visible from all floors. If the volume of the tank mustbe 12,000 cubic feet and the height must be 30 feet,should the tank be a cylinder or a square based prismto minimize the glass needed to build the tank? Notethat the top of the tank will be open and the bottomwill be concrete.

Answered: Image /qna-images/answer/168d89a1-5ae4-46bd-98af-62b63ddae0ca.jpg

Answered: 2. An Aquarium glass: A new aquarium is…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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3. A rectangular room has dimensions 12x12x24. That is, the floor and ceiling and both the side walls are 12x24 and the two end walls are 12x12. In the room there are two ants, a male and a female. The male ant is on the floor at one of the corners. Now the female has positioned herself to be as far as possible from the male. That is, she has located herself at a point so that the male will take the longest possible time to get to her, given that he has to craw! along the walls, floor or ceiling of the room and will (of course) choose his path so that he gets to the female in the shortest possible time. • F The question is: where is the female? Well there's an obvious answer-the diametrically opposite corner. That's certainly the point which is farthest from the ant "as the crow flies." But an ant is not a crow.
Bill is constructing a rectangular corral in his yard. He only has 32 ft of fencing material and wants to maximize the size of the enclosed area. What should the dimensions of the fence be? Let the corral have sides with length b and h. O b = 8, h = 8 O b = 8, h = 6 O b = 7, h = 7 O b = 9, h = 9
Jackie wants to design a cylinder shaped container to hold popcorn. Each container will be made from 900cm? of cardboard. The container will have no top on it. Find the dimensions of the cylinder (to the nearest tenth) that will maximize the volume of popcorn it will hold.
5. A lifeguard has 40 m of rope to enclose a rectangular swimming area at a small lake. One side of the rectangle is a straight sandy beach. What are the dimensions of the largest swimming area that she can enclose? Swimming Pool y Lake O x = 5 m y = 30 m O x = 10 m y = 20 m O x = 8 m y = 24 m O x = 9 m y = 22 m
A rectangular vault is to be constructed on an existing floor at a bank so as to enclose avolume of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling,$9,000 for the wall with the door and $3,000 for the other three walls. The minimized costof the vault rounded to the nearest $1,000 dollars is:a. $964,000b. $971,000c. $982,000d. $993,000
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