Two vertical conical tanks (both inverted) have their vertices connected by a short horizontal pipe. One tank, initially full of water, has an altitude of 7 feet and a diameter of base 8 feet. The other tank, initially empty, has an altitude of of 12 feet and a diameter of base 10 feet. If the water is allowed to flow through the connecting pipe, find the level to which the water will ultimately rise in the empty tank. (Neglect the water in the pipe.)