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As an engineer at Ghana Atomic Energy, you have been tasked to design a cooling tower in the shape of hyperboloid of one sheet. The horizon- tal cross sections of the cooling tower are circular with 10m.The cooling tower is 40m tall with maximum cross-sectional radius of 15m. (A) Construct a mathematical equations for this cooling tower. (B) If x=a cos(u) cosh(v) ,y=bsin(u) cosh(v) and z= csinh(v), show that (x,y,z)lies on your equation in Q1(A). (C) A colleague at the same institution want to construct the cooling tower using an hyperbolic cylinder, give reasons for your result in Q1(A) as the best model for the design of cooling tower.

As an engineer at Ghana Atomic Energy, you have been tasked to design a cooling tower in the shape of hyperboloid of one sheet. The horizon- tal cross sections of the cooling tower are circular with 10m.The cooling tower is 40m tall with maximum cross-sectional radius of 15m. (A) Construct a mathematical equations for this cooling tower. (B) If x=a cos(u) cosh(v) ,y=bsin(u) cosh(v) and z= csinh(v), show that (x,y,z)lies on your equation in Q1(A). (C) A colleague at the same institution want to construct the cooling tower using an hyperbolic cylinder, give reasons for your result in Q1(A) as the best model for the design of cooling tower.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 61E
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As an engineer at Ghana Atomic Energy, you have been tasked to design a cooling tower in the shape of hyperboloid of one sheet. The horizon- tal cross sections of the cooling tower are circular with 10m.The cooling tower is 40m tall with maximum cross-sectional radius of 15m. (A) Construct a mathematical equations for this cooling tower. (B) If x=a cos(u) cosh(v) ,y=bsin(u) cosh(v) and z= csinh(v), show that (x,y,z)lies on your equation in Q1(A). (C) A colleague at the same institution want to construct the cooling tower using an hyperbolic cylinder, give reasons for your result in Q1(A) as the best model for the design of cooling tower.
Transcribed Image Text:As an engineer at Ghana Atomic Energy, you have been tasked to design a cooling tower in the shape of hyperboloid of one sheet. The horizon- tal cross sections of the cooling tower are circular with 10m.The cooling tower is 40m tall with maximum cross-sectional radius of 15m. (A) Construct a mathematical equations for this cooling tower. (B) If x=a cos(u) cosh(v) ,y=bsin(u) cosh(v) and z= csinh(v), show that (x,y,z)lies on your equation in Q1(A). (C) A colleague at the same institution want to construct the cooling tower using an hyperbolic cylinder, give reasons for your result in Q1(A) as the best model for the design of cooling tower.
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