The line segment joining the points (0, 1) and (2, 2) is revolved about the x-axis to generate a frustum of a cone. Find the surface area of the frustum using the parametrization x = 2t, y = t + 1, 0 ≤ t ≤ 1. Check your result with the geometry formula: Area = π(r₁ + r₂)(slant height).