(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A hemispherical bowl with radius 8-inches is filled with punch (weighing .04 pound/in^3) to within 2-inches of the top. How much work is done emptying the bowl if the contents are pumped just high enough to get over the rim?

2. Relevant equations

3. The attempt at a solution

Work = Force(weight)* displacement.

i said displacement was "x"

and for the weight:

r = sqrt(64- x^2)

weight = (.04) (pi * r^2)dx

and so, work to lift weight at a given "x"

is weight*displacement

so i get total work is

integration from 2 to 8 of

(.04pi)(x)(64 - x^2)dx

Is this the right way to approach this problem?

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# Work emptying a bowl

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