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How does a cooling tower work, and what are its major features?... | Filo

SOLVED: A cooling tower for a power plant is to be constructed in the shape of a hyperboloid of one sheet, x^2/a^2 y^2/b^2 - z^2/c^2 = 1. The diameter of the circular base is 80m and the minimum diameter, 100m above the base, is 50m.(a) Find an equation for the tower. (Hint: what does a hyperboloid of one sheet look like, and where do you want to put the origin?)(b) Can you find the equation of a line that is on the surface? (Hint: look for a line (or two) passing through (0, b, 0).)Side note

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