Archive for the ‘Volumes of Revolution’ Category

Volume of Sphere (shells and slabs)

Posted: February 19, 2016 in Calculus: An Introduction, Shell Method, Volumes of Revolution
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Displayed below are two familiar methods of determining volumes of solids, this time as applied to the sphere. It is beneficial to compare two (or more) methods of determining volumes of a given solid; this allows students to develop a deeper understanding of each process that might not otherwise occur if kept in isolation from one another. It is also beneficial to compare directly each method as applied to different shapes. I’m including a link to volume of cones here for that purpose.

Volume SphereShells

Volume of Sphere (slabs)

See also volume of cones.

Thanks for reading.

Volume of Cone (new perspective)

Posted: February 17, 2016 in Calculus: An Introduction, Integral Calculus, Volume, Volumes of Revolution
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I’m snooping around multi-variable calculus with this entry. Presentation of this in class will depend on circumstances (time and where students are). I will nevertheless post a link to this on Google classroom and let students explore if they so desire.

Cone volume (multivariable)

Explore the volume of a cone from a different perspective.

Check out volume of pyramid as well.

Thanks for looking.