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Calculating Volume by Cylindrical Shells

We now know one method for finding the volume of a solid of revolution. But there are tricky examples where the normal method won't work, like when both the inner and outer radius of a washer are being determined by the same function. Luckily there is another method we can use! It involves cylindrical shells. What's that, you ask? Watch this! Watch the whole Calculus playlist: http://bit.ly/ProfDaveCalculus Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio EMAIL► [email protected] PATREON►   / professordaveexplains   Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience! Amazon: https://amzn.to/2HtNpVH Bookshop: https://bit.ly/39cKADM Barnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT