An engineer for a food manufacturer designs an aluminum container for a hot drink mix. The container is to be a right circular cylinder 5.5 in. in height. The surface area represents the amount of aluminum used and is given by S(r) = 2nr + 117r, where r is the radius of the can. a. Graph the function y = S(r) and the line y = 90 on the viewing window [0, 3, 1] by [0, 150, 10]. b. Use the Intersect feature to approximate point of intersection of y = S(r) and y = 90. Round to 1 decimal place if necessary. c. Determine the restrictions on r so that the amount of aluminum used is at most 90 in.2. Round to 1 decimal place.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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An engineer for a food manufacturer designs an aluminum container for a hot drink mix. The container is to be a right
circular cylinder 5.5 in. in height. The surface area represents the amount of aluminum used and is given by
S(r) = 2nr + 117r, where r is the radius of the can.
a. Graph the function y = S(r) and the line y = 90 on the viewing window [0, 3, 1] by [0, 150, 10].
b. Use the Intersect feature to approximate point of intersection of y = S(r) and y = 90. Round to 1 decimal place if
necessary.
c. Determine the restrictions on r so that the amount of aluminum used is at most 90 in.2. Round to 1 decimal place.
Transcribed Image Text:An engineer for a food manufacturer designs an aluminum container for a hot drink mix. The container is to be a right circular cylinder 5.5 in. in height. The surface area represents the amount of aluminum used and is given by S(r) = 2nr + 117r, where r is the radius of the can. a. Graph the function y = S(r) and the line y = 90 on the viewing window [0, 3, 1] by [0, 150, 10]. b. Use the Intersect feature to approximate point of intersection of y = S(r) and y = 90. Round to 1 decimal place if necessary. c. Determine the restrictions on r so that the amount of aluminum used is at most 90 in.2. Round to 1 decimal place.
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