It costs \(\$2,250\) to fill the right circular cylindrical Tank \(R\) with a certain industrial chemical. If the cost to fill any tank with this chemical is directly proportional to the volume of the chemical needed to fill the tank, how much does it cost to fill the right circular cylindrical Tank \(S\) with the chemical?

(1) The diameter of the interior of Tank \(R\) is twice the diameter of the interior of Tank \(S.\)
(2) The interiors of Tanks \(R\) and \(S\) have the same height.

Answer: C

Source: Official Guide