Finding Work When Pumping Liquids Out of Containers! | Best Explanation! | Math with Professor V

In this video we will learn how to find the work required to pump liquids out of containers! You have to really pay attention to the units of each quantity you're dealing with, but if you follow my 3-step process it will become manageable in no time. Examples solved: 1. A vertical right circular cylindrical tank measures 20 ft high and 12 ft in diameter. It is full of oil weighing 60 lb/ft^3. How much work does it take to pump the oil to the level of the top of the tank? Give your answer to the nearest ft-lb. 2. The base of a rectangular tank measures 7 ft by 14 ft. The tank is 17 ft tall, and its top is 10 ft below ground level. The tank is full of water weighing 62.4 lb/ft^3. How much work does it take to empty the tank by pumping water to ground level? Give your answer to the nearest ft-lb. 3. A tank is full of water. Find the work required to pump the water out of the spout. 4. A conical tank is resting on its apex. The height of the tank is 8 ft, and the radius of its top is 7 ft. The tank is full of gasoline weighing 45 lb/ft^3. How much work will it take to pump the gasoline to the top? Give your answer to the nearest ft-lb. Don't forget to LIKE, Comment, & Subscribe! xoxo, Professor V https://linktr.ee/mathwithprofessorv Calculus 2 Lecture Videos on Integration: Integration by parts: https://youtu.be/0klrkpMUsXA Tabular Integration: https://youtu.be/pzhJciqIrzw Trigonometric integrals: https://youtu.be/0MqaL3fwPu4 Trigonometric Substitution: https://youtu.be/rAH-dRxQ4o0 Partial Fraction Decomposition: https://youtu.be/mT25uSspHIU Strategy for Integration: https://youtu.be/P_smvpnX3_g Improper Integrals: https://youtu.be/Q0zD3GjXJ1s Trig Review: Unit Circle: https://youtu.be/nl84YXi1_3A Trig Identities: https://youtu.be/SLVrNGi1Br0 Sum and Difference Formulas: https://youtu.be/9kC8gwkxf6A Double Angle & Half-Angle Formulas: https://youtu.be/EaF57Y4B2uY Calculus 3 Video Lectures: https://youtube.com/playlist?list=PLl-Np5U6u5E65pRRuD0mBXM4w4fenJ5gD #mathwithprofessorv #integration #partialfractions #partialfractionmethod #partialfractiondecomposition #trigonometricsubstitution #trigintegrals #trigsubstitution #integrals #integralcalculus #calculus2 #calculusvideos #calculus2videos #integralvideos #trigonometricintegrals #math #youtubemath #mathvideos #mathtutor #mathprofessor #calculusvideos #integrationbyparts #integralcalculus Join this channel to get access to perks: https://www.youtube.com/channel/UCokuhoh5N_B0ZxHcEU_EWbQ/join Socials: IG: @mathwithprofessorv TikTok: @mathwithprofessorv I'm also an Amazon influencer, so feel free to support and shop: https://amazon.com/shop/mathwithprofessorv EXCITING NEWS: You can now sign up for my Patreon at the link below! https://www.patreon.com/mathwithprofessorv My Patreon is a place for students to have access to exclusive ad-free content not available on my YouTube channel! Access to the library of additional videos, worksheets, and more is available with the "Star Pupil Package" tier for just $9.99/month (USD). https://www.patreon.com/mathwithprofessorv *This video is copy protected and cannot be downloaded or used in any capacity without my permission.*