Surface Area of revolution

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Rumaanah Khan
Rumaanah Khan 2020-3-23
Hi
how would I calculate the surface area of revolution for this curve (using an accuracy of 10^-5) if i rotate it about the axis.
from the graph, it can be seen on the y-axis that the interval of integrating would be from 0 to 40 so it would be easy to rotate about the y axis I would think.
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David Goodmanson
David Goodmanson 2020-3-23
Hello Rumaanah,
take a look at the theorem of Pappus, It's a great part of our cultural heritage to be able to consult a Greek guy from the 4th century
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Abhisek Pradhan
Abhisek Pradhan 2020-3-27
The following link has an answer to calculate volume under surface of revolution of a curve. This may also be extended to calculate the surface area as well.

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