as engineer design a cooling tower in the shape of hyperboloid of one sheet. The horizontal 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=b sin(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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