Mathematics, 21.06.2021 18:20 wichserc3399
Tony is building a new silo to store corn as animal feed. It will be a cylinder topped with a half-sphere, and must store 21 000 t of corn. The entire silo can be filled with corn. Tony wants to minimize the surface area of the silo to reduce materials and paint costs. He has the following information:
β’ 1 cubic m of corn has a mass of 700 kg.
β’ Building costs are $8/m2, taxes included.
β’ Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
β’ Corn costs $140 per tonne ($140/t), taxes
included.
What is the total cost to build, paint, and fill a silo with the least surface area?
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