9. Triple Integrals

Cylindrical And Spherical Coordinates — Quiz

Test your understanding of cylindrical and spherical coordinates with 5 practice questions.

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Practice Questions

Question 1

In cylindrical coordinates, which variable represents the distance from the $z$-axis?

Question 2

Using $0\le \theta<2\pi$, what are the cylindrical coordinates of the Cartesian point $(3,4,2)$?

Question 3

In spherical coordinates, which variable is the distance from the origin?

Question 4

Using the standard convention where $\phi$ is measured from the positive $z$-axis, which Cartesian formula is correct for $z$ in spherical coordinates $(\rho,\theta,\phi)$?

Question 5

What is the volume element $dV$ in cylindrical coordinates?
Cylindrical And Spherical Coordinates Quiz — Multivariable Calculus | A-Warded