Area of Surface of Revolution

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Area of Surface of Revolution

• in Polar Coordinates

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Using Winplot to Generate a Surface of Revoluation
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Surface of Revolution
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Demo
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Revoluting about x-axis
Revoluting about y-axis
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Surface Area in Polar Coordinates
Thm 6.3
The area of the surface generated by revolving
the arc of the curve
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Class Practice
An arc of a parabola is given parametrically by
the equations
(a) This arc is rotated completely about the
x-axis. Show that the area A of the surface of
revolution is given by
(b) Show also that the length L of the arc is
given by