Question: (a) A curve is represented parametrically by Find the volume and the surface area of the solid of revolution generated when the curve is rotated

(a) A curve is represented parametrically by

x(t) = 3t - t, y(t) = 3t (0 t1)

Find the volume and the surface area of the solid of revolution generated when the curve is rotated about the x axis through 2π radians.

(b) Find the position of the centroid of the plane figure bounded by the curve y = 5 sin 2x, y = 0 and x = 1/6π.

x(t) = 3t - 1, y(t) = 3t (0 t1)

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