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mathTalk
Surfaces of Revolution ?? what in earth!! Surfaces of Revolution ?? what in earth!! @Mathematics
you take a curve, you revolve it around x axis or y axis, and you get a surface. no biggie
thanks. what happens when a parabola z = y ^2 if rotated around the z axis ?
Q2. what is the equation of the resulting ellipsoid surface generated by revolving x^2 + x ^(2/9) = 1 around the z-axis ?
|dw:1319455605548:dw| the parabola
|dw:1319455748084:dw| the parabolic solid of revolution
x^2 + x ^(2/9) = 1 can be simplified to be a straight line (no z dependence) so x= something |dw:1319456124573:dw|
the solid of revolution will just be a cylinder with something as the radius |dw:1319456244500:dw|