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Use cylindrical coordinates to write a triple integral that gives the volume bounded below by the cone z=√(x²+y²) and bounded above by the plane z=2

2006-12-14 13:28:51 · 1 answers · asked by tanie 1 in Science & Mathematics Mathematics

* Look up the formula for the volume of a cone, and calculate the volume with the formula

2006-12-14 14:11:16 · update #1

1 answers

the minimum value for z is r, so if the cone stops at z=2, then the maximum value for r is 2. Thus:
∭f(x) dV = [0, 2π]∫ [0, 2]∫ [r, 2]∫ f(x) r dz dr dθ

Edit: look, you asked for the triple integral over the cone, so I gave you the triple integral. If you just wanted the volume of a cone, you can very easily look it up yourself. Don't use calculus for problems that you can more easily solve with geometry.

2006-12-14 13:37:35 · answer #1 · answered by Pascal 7 · 0 0

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