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

Construct a triple integral in cylindrical coords to find the volume of the cone r=z, where the height (z value) is limited by z=L.

Should be in the form => {int[b,a] int[d,c] int[f,e]} (r) {dr dtheta dz}

(Sorry for weird formatting above, brackets purely to make terms more discernible)

Then evaluate using this order of integration to find volume.

2. Relevant equations

Volume of a cone => V=[(pi)(a)^2(L)]/3

In a cylindrical coord system, r=z describes an inverted cone of infinite height

3. The attempt at a solution

Currently working on an attempt, but if someone could help out with the understanding, that would be great. It doesn't immediately make alot of sense to me.

i.e. r=z gives infinite height, but the volume is limited by L, so how do I find limits for that? Also can't see any immediate limits for theta in this situation.

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# Homework Help: Triple Integral in Cylindrical Coords

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