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A cylindrical can needs to have a volume of 6 cubic inches. A label is to go around the side of the can. The function S(r) = gives the area of the label in square 12 r inches where r is the radius of the can in inches. The graph of the area function is given below. -10-9 10 -10 10

A cylindrical can needs to have a volume of 6 cubic inches. A label is to go around the side of the can. The function S(r) = gives the area of the label in square 12 r inches where r is the radius of the can in inches. The graph of the area function is given below. -10-9 10 -10 10

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 32E
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A cylindrical can needs to have a volume of 6 cubic inches. A label is to go around the side of the can. The function S(r) = 12 gives the area of the label in square r inches where r is the radius of the can in inches. The graph of the area function is given below. -10-9 -8 -7 -6 -5 -4 -2 -1 10 -9. -8 -2 0 1 --2 -3 -7 -10 2 3 4 5 6 9 10
Transcribed Image Text:A cylindrical can needs to have a volume of 6 cubic inches. A label is to go around the side of the can. The function S(r) = 12 gives the area of the label in square r inches where r is the radius of the can in inches. The graph of the area function is given below. -10-9 -8 -7 -6 -5 -4 -2 -1 10 -9. -8 -2 0 1 --2 -3 -7 -10 2 3 4 5 6 9 10
a. What would be a more appropriate domain to use for the graph of the function? Explain your reasoning. b. What size radius would yield a label with an area of 8 square inches?
Transcribed Image Text:a. What would be a more appropriate domain to use for the graph of the function? Explain your reasoning. b. What size radius would yield a label with an area of 8 square inches?
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