Question

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 geom-etry formula: Area = pai(r1 + r2)(slant height).

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