Thread: Computing the surface area of a volume of rotation

Hey guys;
Like the title says, I am asked to find the surface area of a sphere using integration. I have been given the equation . I know how you find volume (that's the first part of the question), but how do you find the surface area of the sphere using integration?

Thanks,
Peter

Originally Posted by flybynight

Hey guys;
Like the title says, I am asked to find the surface area of a sphere using integration. I have been given the equation . I know how you find volume (that's the first part of the question), but how do you find the surface area of the sphere using integration?

Thanks,
Peter

have a look at the information provided in the link, then scroll down to example #1 (bottom of the page)

http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/moreApps/arclength.html