*PLEASE USE MATLAB

2. A water tank consists of a cylindrical part of radius r and height h, and a hemispherical top. The tank is to be constructed to hold 700 m of fluid when filled. The surface area of the cylindrical part is 2trh, and its volume is ar?h. The surface area of the hemispherical top is given by 2nr?, and its volume is given by 28tr3/3. The cost to construct the cylindrical part of the tank is $500 per square meter of surface area, and the hemispherical part costs $600 per square meter of surface area. a. Plot the cost versus r for 2 srs 10 m with appropriate title and labeling of axes with units. b. Use the MIN function to find the least cost and the corresponding r and h. Use a step size of 0.01 m for r. c. Use the FMINBND function to find the least cost and the corresponding r and h. d. Use the FMINSEARCH function to find the least cost and the corresponding r and h. e. Compare your answers from parts b, c, and d and check your results with the plot from part a