Mathematics, 26.09.2019 05:30, j015

New streetlights will be installed along a section of the highway. the posts for the streetlights will be 7.5 m tall and made of aluminium. the city can choose to buy the posts shaped like rectangular prisms. the cylindrical posts have a hollow core, with aluminium 2.5 cm thick, and an outer diameter of 53.4 cm. the rectangular-prism posts have a hollow core, with aluminium 2.5 cm thick, and a square base that measures 40 cm on each side.
the density of aluminium is 2.7 g/cm³, and the cost of aluminium is $0.38 per kilogram.
part a: if all posts must be the same shape, which post design will cost the town less?
part b: how much money will be saved per streetlight post design will cost the town less?

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New streetlights will be installed along a section of the highway. the posts for the streetlights wi...