Determine the radius that results in the least cost

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Reference no: EM13293407

A water tank consists of a cylindrical part of radius r and height h, and a hemispherical top. The tank is to be constructed tohold 500 m3 of fluid when filled. The surface area of thecylindrical part is (2*pi*r*h), and its volume is (pi*r^2*h). The surface area of the hemispherical top is given by (2*pi*r^2) and its volume is given by (2*pi*r^3 / 3). The cost to construct the cylindrical part of the tank is $300.00/m^2 of the surface area and400 / m^3 for the hemispherical top. Plot the cost versus r for 2<= r <=10m, and determine the radius that results in theleast cost. Compute the corresponding height h.

Reference no: EM13293407

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