Acontainer 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.