A container is to be made in the shape of a cylinder with a conical top. The lateral surface areas of the cylinder and cone are S1 = 2(pi)rh and S2 = 2(pi)r√(r^2 + h^2). The surface area of the base of the container is B= (pi)r^2. The height of the cylinder and cone are equal. The radius of the container is 5 inches and its total surface area is 275(pi) in^2. Find the total height of the container.
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