# Computing the Mass of a Thin Shell

Hi I have a question on

http://none-questions.blogspot.com/2011/10/mm-q18.html

Can someone please take a look and provide me a solution in step by step format in pdf or word? If you think the bid is insufficient, please put in a counterbid, thanks

Â© BrainMass Inc. brainmass.com March 4, 2021, 11:33 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/computing-mass-thin-shell-433784

#### Solution Preview

Problem: Find the mass M of a thin shell with density Î´(x, y) = 1 + x2 + y2 occupying that part of the surface z = (x2 + y2)/2 lying below the plane z = 2.

Solution: We have

M = âˆ«S Î´(x, y) dA = âˆ«S(1 + x2 + y2) ...

#### Solution Summary

We compute the mass of a thin paraboloidal shell of given density by means of a double integral.

$2.49