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 2 years ago
A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 300 m and the minimum diameter, 500 m above the base, is 220 m. Find an equation for the tower. (Assume the center is at the origin with axis the zaxis and the minimum diameter is at the center.)
 2 years ago
A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 300 m and the minimum diameter, 500 m above the base, is 220 m. Find an equation for the tower. (Assume the center is at the origin with axis the zaxis and the minimum diameter is at the center.)

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kyosuke
 2 years ago
Best ResponseYou've already chosen the best response.0primero, se sabe que la ecuación de una hiperboloide de una hoja es x^2/a^2+ y^2/b^2+ z^2/c^2=1 ; según el enunciado cuando z=0 ,obtenemos una circunferencia de 110 de radio, por tanto a=110; b=110.luego cuando z=500 x^2+y^2=150^2 reemplazas en la ecuación y obtienes c=539.31 aproximadamente. con lo hallado armas tu ecuación. suerte.
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