Calculus and Above

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i have a question about...

i have a question about this here: http://www.nabla.hr/CL-DefiniteIntAppl5.htm#The surface area of a spherical cap , only about the 'The surface area of a spherical cap' part.

i saw this, and i don't really understand how they derived with the formula. The aim is basically to find the formula for the surface area of a spherical cap.

why do you differentiate the x=sqrt(rˆ2-yˆ2)? how does that help to find the surface?

and then next, what role does 'ds' play in here ?

and how do you know that Sy= 2pi (∫cd) x ds?

im really confused and appreciate you answer

i saw this, and i don't really understand how they derived with the formula. The aim is basically to find the formula for the surface area of a spherical cap.

why do you differentiate the x=sqrt(rˆ2-yˆ2)? how does that help to find the surface?

and then next, what role does 'ds' play in here ?

and how do you know that Sy= 2pi (∫cd) x ds?

im really confused and appreciate you answer

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