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 filled.

The surface area of the cylindrical part is 2arh, and its volume is ar?h. The surface area of the hemispherical top is given by 2r?, and its volume is given by 2tr /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 fmin bnd() function to compute the radius that results in the least cost. Compute the corresponding height h.