Surface Area Example

Arc Length and Surface Area Example 2

>	with(plots):

Warning, the name changecoords has been redefined

Find the area of the surface formed by revolving the graph of the curve given parametrically about the x-axis.

x = 3cos(t),     y = 2sin(t)     t-interval:  [ 0 , 2Pi ]

The surface is an ellipsoid.

>	implicitplot3d(4*x^2+9*y^2+9*z^2=36,x=-3..3,y=-2..2,z=-2..2,axes=boxed,scaling=constrained);

>	Area:=4*Pi*Int(sin(t)*sqrt(9*(sin(t))^2+4*(cos(t))^2),t=0..Pi);

>

value(%);

>

evalf(%);

>