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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 600 m3 when led. The surface area of the cylindrical part is 2 rh, and its volume is r2 h. The surface area of the hemispherical top is given by 2 r2 , and its volume is given by 2 r3 /3. The cost to construct the cylindrical part of the tank is $400 per square meter of surface area; the hemispherical part costs $600 per square meter. Use the fminbnd function to compute the radius that results in the least cost. Compute the corresponding height h.
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