Consider the parametric equations and , where .The area of the surface obtained by rotating this parametric curve radians about the -axis can be calculated by evaluating the integral where .
Hence, find the surface area of by evaluating the integral.
Consider the parametric equations and , where . Calculate the area of the surface obtained when the curve is rotated radians about the -axis.
Determine the surface area of the solid obtained by rotating the parametric curve and , where , about the .