hey all, newbie here.

I have got a problem regarding optimization in 3D:

"A silo is to made from cylinder surmounted by a hemisphere. The cost of construction per square foot of surface area is twice as great for the hemisphere as for the cylinder. Determine the dimensions to be used if the volume is fixed and the cost of the construction to be minimum. Neglect the thickness of the silo and waste in the construction. The floor of the silo is not included in this construction"

I easily can solve the 2dimentional version of this problem, but having little problems here in 3D. Especially on the part of the price, can I assume the the price for the hemisphere to be 2 units and for the cylinder 1 units, so I can proceed the algebra?

thanks a lot,

Tuugii