Calculating Work to Empty a Spherical Tank – Integral Calculus

Problem: A spherical tank is half full of oil that has a density of 900kg/m3. Find the work W required to pump the oil out of the spout. (Use 9.8 for g and 3.14 for pi. Round your answer to three significant digits.)

In this video, we solve for the work required to empty a tank of oil.

Feel free to throw me any questions/problems on integral calculus or calculus-based physics. Would love to help and learn together. Thanks!

Source: BYU Independent Study, Math 113 – Calculus 2 Assignment


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