Question

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

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

2020-12-26
Step 1
Given: The integrand of a triple integral involves $$x^{2} + y^{2}$$
Step 2
Explanation:
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