If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Integrals in spherical and cylindrical coordinates

Problem

Let S be the region between two concentric spheres of radii 4 and 6, both centered at the origin.
What is the triple integral of f(ρ)=ρ2 over S in spherical coordinates?
Choose 1 answer: