3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be painted. The cost for painting the base is 1$ per square centimeter, while the sides cost 2$ per square centimeter. Find the dimensions and the minimal cost of painting such a can. Hint: Surface area of a (right) cylinder = 27r² (area of bases) + 27rh (lateral area)
3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be painted. The cost for painting the base is 1$ per square centimeter, while the sides cost 2$ per square centimeter. Find the dimensions and the minimal cost of painting such a can. Hint: Surface area of a (right) cylinder = 27r² (area of bases) + 27rh (lateral area)
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
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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Transcribed Image Text:3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to
be painted. The cost for painting the base is 1$ per square centimeter, while the sides cost 2$
per square centimeter. Find the dimensions and the minimal cost of painting such a can.
Hint: Surface area of a (right) cylinder = 27² (area of bases) + 2πrh (lateral area)
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Hey sorry but I just want to confirm. What's the minimal cost of painting?
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