2. A plastic drinking cup is in the shape of an open top cylinder. The side of the cup is made from a single layer of plastic but the bottom of the cup requires 3 layers of plastic. If you have 260 cm² of plastic, determine a) the dimensions that will maximize the volume of the cup b) the maximum volume that the cup can hold

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 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases....
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2. A plastic drinking cup is in the shape of an open top cylinder. The side of the cup is made from a single
layer of plastic but the bottom of the cup requires 3 layers of plastic. If you have 260 cm² of plastic,
determine
a) the dimensions that will maximize the volume of the cup
b) the maximum volume that the cup can hold
Transcribed Image Text:2. A plastic drinking cup is in the shape of an open top cylinder. The side of the cup is made from a single layer of plastic but the bottom of the cup requires 3 layers of plastic. If you have 260 cm² of plastic, determine a) the dimensions that will maximize the volume of the cup b) the maximum volume that the cup can hold
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