Natural Draft' cooling towers are often shaped as hyperboloids of revolution. Each vertical cross section of these towers is a hyperbola. Suppose the tower is 450 feet wide at the base, 275 feet wide at the top, and 220 feet at its narrowest point (which occurs 330 feet above the ground.) Determine the height of the tower to the nearest foot.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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22 'Natural Draft' cooling towers are often shaped as hyperboloids of revolution. Each
vertical croSs section of these towers is a hyperbola. Suppose the tower is 450 feet wide at
the base, 275 feet wide at the top, and 220 feet at its narrowest point (which occurs 330 feet
above the ground.) Determine the height of the tower to the nearest foot.
height
275 ft
220 ft
330 t
450 t
Transcribed Image Text:22 'Natural Draft' cooling towers are often shaped as hyperboloids of revolution. Each vertical croSs section of these towers is a hyperbola. Suppose the tower is 450 feet wide at the base, 275 feet wide at the top, and 220 feet at its narrowest point (which occurs 330 feet above the ground.) Determine the height of the tower to the nearest foot. height 275 ft 220 ft 330 t 450 t
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