Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.6 Force, Work, and Energy, #17 · Calculus · Applications of integrals

A cylinder of depth … and cross-sectional area … stands full of…

A cylinder of depth $H$ and cross-sectional area $A$ stands full of water (density $w$ ). (a) Compute the work $W = \int w A h d h$ to lift all the water to the top. (b) Check the units of $W$ . (c) What is the work $W$ if the cylinder is only half full ?

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.6 Force, Work, and Energy, #17

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.