A closed tin can having a volume of 27 in^3 is to be in the form of a right- circular cylinder. If the circular top and bottom are cut from square pieces of tin, what is the radius and height of the can if the least amount of tin is to be used in its manufacture? Include the tin that is wasted when obtaining the top and bottom. *

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 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....
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A.r=3/2 in.; h=12/n in.
B.r =2/3 in.; h =243/4n in.
C.r=(3v6)/4 in.; h= 2.5465 in.
D. r =(4V6)/3 in.; h= 0.805721 in.
E. None of the above
Transcribed Image Text:A.r=3/2 in.; h=12/n in. B.r =2/3 in.; h =243/4n in. C.r=(3v6)/4 in.; h= 2.5465 in. D. r =(4V6)/3 in.; h= 0.805721 in. E. None of the above
A closed tin can having a volume of 27 in^3 is to be in the form of a right-
circular cylinder. If the circular top and bottom are cut from square pieces
of tin, what is the radius and height of the can if the least amount of tin is
to be used in its manufacture? Include the tin that is wasted when
obtaining the top and bottom. *
Transcribed Image Text:A closed tin can having a volume of 27 in^3 is to be in the form of a right- circular cylinder. If the circular top and bottom are cut from square pieces of tin, what is the radius and height of the can if the least amount of tin is to be used in its manufacture? Include the tin that is wasted when obtaining the top and bottom. *
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