# Using Surface Integrals, calculate the area that vanishes with this rising tide

attached below

## Relevant Equations:

A=sqrt[1+(dz/dx)^2+(dz/dy)^2]dA

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Delta2

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andrewkirk
Homework Helper
Gold Member
Yes that looks correct to me. I would put the limits of the inner integral the other way around - highest on the top - because the integral you gave will give you a negative number. But the size will be correct, and that's what really matters.

Yes that looks correct to me. I would put the limits of the inner integral the other way around - highest on the top - because the integral you gave will give you a negative number. But the size will be correct, and that's what really matters.
Ya, I changed the inner integral and tried to evaluate, seems hard to get a finite answer

haruspex
Homework Helper
Gold Member
The slope of the coast is quite small, so it will be very close to ##\Delta(\pi r^2)##

Ya, I changed the inner integral and tried to evaluate, seems hard to get a finite answer
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Delta2