What coordinate system is suggested if the integrand of a triple integral involves x^{2} + y^{2}?

Alternate coordinate systems
asked 2020-12-25
What coordinate system is suggested if the integrand of a triple integral involves \(x^{2} + y^{2}?\)

Answers (1)

Step 1
Given: The integrand of a triple integral involves \(x^{2} + y^{2}\)
Step 2
A cylindrical coordinate system is used in triple integrals only.
Therefore, it is cylindrical coordinate system
Because \(x = r \cos (\theta), y = r \sin (\theta)\ and\ z = z\)
So, \(x^{2} +y^{2} = r^{2}\)
z axis is same in both systems.
So, The integrand of a triple integral involves \(x^{2} + y^{2}\) then its suggested to use cylindrical coordinate system

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