2. A cylindrical can is to have a volume of 20 cm³. Find the radius and height of the can that will minimize the amount of material to be used. hint: to find the surface area of a cylinder, you add the top and bottom areas (which are both circles) and the lateral surface area (which is the circumference times the height).

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
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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Can you please guide me with a step by step in solving the minimum.
2. A cylindrical can is to have a volume of 20 cm³. Find the radius and height of the can that will minimize
the amount of material to be used. hint: to find the surface area of a cylinder, you add the top and bottom
areas (which are both circles) and the lateral surface area (which is the circumference times the height).
radius = 20cms
TOTT
02=X.
メ= 10
arca =ZT r.cs+
Volum = TT.Z.n
Transcribed Image Text:2. A cylindrical can is to have a volume of 20 cm³. Find the radius and height of the can that will minimize the amount of material to be used. hint: to find the surface area of a cylinder, you add the top and bottom areas (which are both circles) and the lateral surface area (which is the circumference times the height). radius = 20cms TOTT 02=X. メ= 10 arca =ZT r.cs+ Volum = TT.Z.n
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