Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.1 Linear Approximation, #26 · Calculus · Applications of derivatives

… if a circular cylinder with … changes height from 3 to…

Find the linear change $d V$ in the volume or $d A$ in the surface area.

$d V$ if a circular cylinder with $r = 2$ changes height from 3 to 3.05 (recall $V = π r^{2} h$ ).

~11 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.1 Linear Approximation, #26

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.