Part c: If the surface area is 300 square inches, then what is the rardius r? In other words, evaluate r (300). Round your answer to 2 decimal places.
Part c: If the surface area is 300 square inches, then what is the rardius r? In other words, evaluate r (300). Round your answer to 2 decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The height of the cylinder is 4 inches.
We'll be analyzing the surface area of a round cylinder - in other words the amount of material needed to
"make a can".
A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the
radius of the top of the can and let h be the height. The surface area of the cylinder, A, is
A = 2rr2 + 2Trh (it's two circles for the top and bottom plus a rolled up rectangle for the side).
r = radius
Areas = ar?
h = height
Area = h(2tr)
%3D
Circumference
2nr
Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can
write that as A (r)
2
+ 8 Tr. What is the domain of A (r)? In other words, for which values of
r is A (r) defined?
Part b: Continue to assume that the height of your cylinder is 4 inches. Write the radius r as a function
of A. This is the inverse function to A (r), i.e to turn A as a function of r into. r as a function of A.
Transcribed Image Text:Part c: If the surface area is 300 square inches, then what is the rardius r? In other words, evaluate
r (300). Round your answer to 2 decimal places.
Hint: To compute a numeric square root such as v17.3, you could
• Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3)
• Use a browser to connect to the Internet and type in sqrt(17.3) into a search field
• Use a calculator
The radius is Number
inches if the surface area is 300 square inches.
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