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A cylindrical silo topped by a hemispherical vault of 1920 m3 was built. The production cost per m2 is double in the vault than

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A cylindrical silo topped by a hemispherical vault of 1920 m3 was built. The production cost per m2 is double in the vault than in the cylindrical part. The cost is $8000 pesos per m2 in the vault If the owner of the silo paid four million pesos for the construction of this silo. Estimate the diameter and height of the silo built with an error < 10-10 Express the equation(s) to be solved and justifiably determine an interval where the values to be approximated are found.

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