A cylindrical can, open at the top, is to hold 600 cm of liquid. Find the height, h, and the radius, r, that minimize the amount of material needed to manufacture the can. NOTE: Eter the enact anwers. h = cm cm Hint Assistance Us The surface area of a cylinder is S= 2ar + 2erh. where r is the radius and A is the height. Consider how the surface area of the can in this problem, which is open at the top, differs from that of a cylinder.

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 14CR: a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and...
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A cylindrical can, open at the top, is to hold 600 cm of liquid.
Find the height, h, and the radius, r, that minimize the amount
of material needed to manufacture the can.
NOTE: Eter the enact anwers.
h =
cm
r =
cm
Hint
Assistance Used
The surface area of a cylinder is
S= 2ar + 2erh.
where r is the radius and A is the height.
Consider how the surface area of the can in this problem, which is open at the top, differs from that of a cylinder.
Transcribed Image Text:A cylindrical can, open at the top, is to hold 600 cm of liquid. Find the height, h, and the radius, r, that minimize the amount of material needed to manufacture the can. NOTE: Eter the enact anwers. h = cm r = cm Hint Assistance Used The surface area of a cylinder is S= 2ar + 2erh. where r is the radius and A is the height. Consider how the surface area of the can in this problem, which is open at the top, differs from that of a cylinder.
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