Question

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 2πrh and its volume is πr2 h. the surface area of the hemispherical top is given by 2 πr2 and its volume is given by 2πr3 /3. the cost to construct the cylindrical part is rs. 4000 per square meter of surface area; the hemispherical part costs rs. 6000 per square meter. use the fminbnd function to compute the radius that results in the least cost. compute the corresponding height h

Answer 1

The corresponding h can be
As the v of cylinder + v of hemisphere = v of the container formed
Thus try e values are given and h .