- #1

LaplacianHarmonic

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## Homework Statement

Cylinder : x^2 + y^2 = 1

Plane that intersects above cylinder: y + z = 2

What is the surface area of the sides of this cylinder?

## Homework Equations

dS= R1 d@ dz

@ is from 0 to 2 pi

z is from 0 to 2 - y

dS=(Zx^2 + Zy^2 + 1)^.5 dA

Where Z = 2 - y

## The Attempt at a Solution

I used

dS=(Zx^2 + Zy^2 + 1)^.5 dA

Where Z = 2 - y

To get

2^.5 r dr d@

r is from 0 to R1

@ is from 0 to 2pi

Final answer is

(2)^.5*(pi)(R1)^2

Is this correct??