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Chapter 13: Q 14. (page 1066)

The volume increment dV=---when you use cylindrical coordinates to evaluate a triple integral. Why is this the standard order of integration for cylindrical coordinates?

Short Answer

Expert verified

The volume increment isrdrdzdθ.

Step by step solution

01

Given Information

It is given that we need to evaluate volume increment by using cylindrical coordinates.

02

Explanation

Mathematically we can write,

∫∫∫fr,θ,zdV=∫∫∫fr,θ,zrdzdrdθ

Comparing we get,

dV=rdzdrdθ

For simplest order of integration ris expressed in terms of θ

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