Determining the Surface Area of a Solid of Revolution
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M89: surface are of surfaces of revolution
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Calculus V.
Key Questions

If a surface is obtained by rotating about the xaxis from
#t=a# to#b# the curve of the parametric equation#{(x=x(t)),(y=y(t)):}# ,then its surface area A can be found by
#A=2pi int_a^by(t)sqrt{x'(t)+y'(t)}dt# If the same curve is rotated about the yaxis, then
#A=2pi int_a^b x(t)sqrt{x'(t)+y'(t)}dt#
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