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The tactory designers are currently investigating whether a cone-shaped container can be replaced with a cylinder-shaped container with the same radius and the same total surface area. a. Find the slant height of the cone-shaped container. b. Find the slant height of the cone-shaped container. c. Show that the total surface area of the cone-shaped container is 314cm2, correct to three significant figures. d. Find the height, h, of this cylinder-shaped container. e. The factory director wants to increase the volume of coconut water sold per container. State whether or not they should replace the cone-shaped containers with cylinder-shaped containers. Justify your conclusion.

The tactory designers are currently investigating whether a cone-shaped container can be replaced with a cylinder-shaped container with the same radius and the same total surface area. a. Find the slant height of the cone-shaped container. b. Find the slant height of the cone-shaped container. c. Show that the total surface area of the cone-shaped container is 314cm2, correct to three significant figures. d. Find the height, h, of this cylinder-shaped container. e. The factory director wants to increase the volume of coconut water sold per container. State whether or not they should replace the cone-shaped containers with cylinder-shaped containers. Justify your conclusion.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 5CR: The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the...
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A factory packages coconut water in cone-shaped containers with a base radius of 5.2cm and a height of 13cm. The factory designers are currently investigating whether a cone-shaped container can be replaced with a cylinder-shaped container with the same radius and the same total surface area. a. Find the slant height of the cone-shaped container. b. Find the slant height of the cone-shaped container. c. Show that the total surface area of the cone-shaped container is 314cm2, correct to three significant figures. d. Find the height, h, of this cylinder-shaped container. e. The factory director wants to increase the volume of coconut water sold per container. State whether or not they should replace the cone-shaped containers with cylinder-shaped containers. Justify your conclusion.
Transcribed Image Text:A factory packages coconut water in cone-shaped containers with a base radius of 5.2cm and a height of 13cm. The factory designers are currently investigating whether a cone-shaped container can be replaced with a cylinder-shaped container with the same radius and the same total surface area. a. Find the slant height of the cone-shaped container. b. Find the slant height of the cone-shaped container. c. Show that the total surface area of the cone-shaped container is 314cm2, correct to three significant figures. d. Find the height, h, of this cylinder-shaped container. e. The factory director wants to increase the volume of coconut water sold per container. State whether or not they should replace the cone-shaped containers with cylinder-shaped containers. Justify your conclusion.
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