- #1

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## Homework Statement

The question asks,

"Find the surface area of the cap cut from the sphere x^2+y^2+z^2=2 by the cone z = sqrt(x^2+y^2)" The answer should be 2pi(2-sqrt(2))

My main problem is not knowing how to get started.

## Homework Equations

With the example given, it seems we need to find cos(v) first using the equation cos(v) =

**n***.

**k**/|

**n**|.

## The Attempt at a Solution

I found the normal line to be 2xi+2yj+2zk. Using the above formula, I eventually reached the conclusion that z/sqrt(r^2+z^2). I don't know how to use this in an integral and it doesn't follow the example our professor gave us either. Can anyone help?