The Area of a Surface of Revolution
by Steve Hennagin with lots of help from Mike May
Copyleft 2007
A surface of revolution is found by rotating a curve F(x, y) = 0 about a line \356\223\201. The general problem is difficult
to implement so we will concentrate on curves of the form y=f(x) or x = g(y) with rotation about a line parallel
to one of the coordinate axes. The simplest curve to rotate is the constant curve.
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRic=
f := x -> 4;
JSFH a := 0;
b := 7;
Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlIiIlRiVGJUYl
IiIh
IiIo
JSFH
In this case we can simpply use the formula for the surface area of the side of a cylinder:
QyQ+SSxhcmVhc3VyZmFjZUc2ImYqNiRJInJHRiVJImhHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKihJI1BpRyUqcHJvdGVjdGVkRyIiIjkkRjE5JUYxIiIjRiVGJUYlRjE=
Zio2JEkickc2IkkiaEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqKEkjUGlHJSpwcm90ZWN0ZWRHIiIiOSRGLjklRi4iIiNGJUYlRiU=
In our example,
QyY+SSdyYWRpdXNHNiIiIiUiIiI+SSdoZWlnaHRHRiUiIihGJw==
IiIl
IiIo
Which gives
QyQvLi1JLGFyZWFzdXJmYWNlRzYiNiRJJ3JhZGl1c0dGJ0knaGVpZ2h0R0YnRiUiIiI=
Ly1JLGFyZWFzdXJmYWNlRzYiNiRJJ3JhZGl1c0dGJUknaGVpZ2h0R0YlLCRJI1BpRyUqcHJvdGVjdGVkRyIjYw==
JSFH
Now, we will compute the value as an integral:
First, we plot the curve.
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
JSFH
Next we parametrize the curve so that it can be parameterized.
Qyg+SSVzdXJmRzYiNyVJInhHRiUqJi1JImZHRiU2I0YnIiIiLUkkc2luR0YlNiNJInRHRiVGLComRilGLC1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJUYvRixGLD5JI3QwR0YlIiIhRiw+SSN0MUdGJSwkSSNQaUdGNSIiI0Ys
NyVJInhHNiIsJC1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjSSJ0R0YkIiIlLCQtSSRjb3NHRihGK0Yt
IiIh
LCRJI1BpRyUqcHJvdGVjdGVkRyIiIw==
Now rotate:
Error, missing operator or `;`
plot3d(surf, x=a..b, t=t0..t1,
axes=boxed, scaling=constrained);
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The integral for computing the area of a surface of revolution is
The area of a surface of revolution is the integral of
2Pi*(f(x))LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2Iy1JJm1zcXJ0R0YkNiMtRiM2Ji1JI21uR0YkNiRRIjFGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSIrRidGOi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQy8lKXN0cmV0Y2h5R0ZDLyUqc3ltbWV0cmljR0ZDLyUobGFyZ2VvcEdGQy8lLm1vdmFibGVsaW1pdHNHRkMvJSdhY2NlbnRHRkMvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZSLUYjNiMtSSVtc3VwR0YkNiUtSShtZmVuY2VkR0YkNiQtRiM2Ji1JJm1mcmFjR0YkNigtRiM2Iy1GPjYtUTAmRGlmZmVyZW50aWFsRDtGJ0Y6RkFGREZGRkhGSkZMRk4vRlFRJjAuMGVtRicvRlRGYm8tRiM2JUYrLUYjNiRGXm8tRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnL0Y7USdpdGFsaWNGJ0YrLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZlcC8lKWJldmVsbGVkR0ZDLUY+Ni1RMSZJbnZpc2libGVUaW1lcztGJ0Y6RkFGREZGRkhGSkZMRk5GYW9GY28tRiM2JS1GLDYlUSJmRidGW3BGXnAtRj42LVEwJkFwcGx5RnVuY3Rpb247RidGOkZBRkRGRkZIRkpGTEZORmFvRmNvLUZlbjYkLUYjNiNGaG9GOkYrRjotRjc2JFEiMkYnRjovJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRitGKw== over the domain
JSFH
QyQ+SSNmeEc2ImYqNiNJInhHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJS1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJmR0YlNiM5JEYzRiVGJUYlIiIi
Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklZGlmZkclKnByb3RlY3RlZEc2JC1JImZHRiU2IzkkRjBGJUYlRiU=
Since the function is constant, its derivative is zero. The integral is thus
QyQvLUkkSW50RzYiNiQsJCooSSNQaUclKnByb3RlY3RlZEciIiItSSVzcXJ0RzYkRitJKF9zeXNsaWJHRiY2IywmRixGLCokLUkjZnhHRiY2I0kieEdGJiIiI0YsRiwtSSJmR0YmRjZGLEY4L0Y3O0kiYUdGJkkiYkdGJi1JJGludEdGJkYnRiw=
Ly1JJEludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLCRJI1BpR0YmIiIpL0kieEdGKDsiIiEiIigsJEYrIiNj
JSFH
We now follow this with the example of a semicircle of radius one rotated about the x-axis, the answer ought to be 2* Pi, which is one-half the surface area of the unit sphere. Let us see if it is so.
Qyg+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklc3FydEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjLCYiIiJGMyokOSQiIiMhIiJGJUYlRiVGMz5JImFHRiUiIiFGMz5JImJHRiVGM0Yz
Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklc3FydEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjLCYiIiJGMCokOSQiIiMhIiJGJUYlRiU=
IiIh
IiIi
QyQtSSVwbG90RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSSJmR0YoNiNJInhHRigvRi07SSJhR0YoSSJiR0YoIiIi
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
Qyg+SSVzdXJmRzYiNyVJInhHRiUqJi1JImZHRiU2I0YnIiIiLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNJInRHRiVGLComRilGLC1JJGNvc0dGL0YyRixGLD5JI3QwR0YlIiIhRiw+SSN0MUdGJSwkSSNQaUdGMCIiI0Ys
NyVJInhHNiIqJiwmIiIiRicqJEYjIiIjISIiI0YnRiktSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2I0kidEdGJEYnKiZGJkYrLUkkY29zR0YuRjFGJw==
IiIh
LCRJI1BpRyUqcHJvdGVjdGVkRyIiIw==
Draw the surface of revolution:
QyQtSSdwbG90M2RHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2J0klc3VyZkdGKC9JInhHRig7SSJhR0YoSSJiR0YoL0kidEdGKDtJI3QwR0YoSSN0MUdGKC9JJWF4ZXNHRihJJmJveGVkR0YoL0koc2NhbGluZ0dGKEksY29uc3RyYWluZWRHRigiIiI=
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