Calculus 3: Ch 13.1 Triple Integrals (1 of TBD) Volume=? of a Sphere Using Spherical Coordinates

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We will find the 1/8 of the volume of a sphere=? using SPHERICAL coordinates.

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Kudos for the impeccable dφ ("dee-fee") pronunciation!

pljsxwb
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Thank you professor . It help me a lot

dlrmfemilianolako
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Nice to see this kind of playlist professor 🙂

hypothesis_
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∫∫rdθrsinϕdϕ θ from 0 to 2π and ϕ from 0 to π is the surface area of a sphere.
And V=∫∫∫rdθrsinϕdϕdr r from 0 to r is the Volume of a sphere
V=4π∫r²dr| 0 to r
V=4πr³/3

copyrightmaster
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Thank you so much professor. God bless. But will you upload anything concerning the topic of Discrete mathematics.

igormitrovic
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Can you download the rest of organic chemistry playlist, please ?
Thanks

ibnmostafa
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At 2:45, the radius of the sphere is r but you integrate over r squared. Why is that?

schifoso
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Sir the stupid idiot programmers of youtube has made it such that I cant access your playlists anymore, If I press on a playlist it returns me back to the playlists.

ahmedal-ebrashy