Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.4 Surface Integrals, #29 · Multivariable Calculus · Green, Stokes & divergence

A unit circle is rotated around the … axis to give a…

A unit circle is rotated around the $z$ axis to give a torus (see figure). The center of the circle stays a distance 3 from the $z$ axis. Show that Problem 21 gives a typical point $(x, y, z)$ on the torus and find the surface area $\iint d S = \iint ∣ N ∣ d u d v$ .

This exercise builds on another exercise in its source book, which isn't shown here.

~11 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.4 Surface Integrals, #29

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.