Calculus 3: Triple Integrals (12 of 25) Finding the Volume Using Cylindrical Coordinates

In this video I will find the volume of a partial cylinder using cylindrical coordinates.

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[ahmedal-ebrashy]

I dont get why r is in the equation at all? We integrate over r and than integrate theta and add height dz, that is the volume already, The r confuses me, I am aware of the forth dimension thing but it is confusing

[raghavans]

How to find the volume of ellipsoid???

[haneenkodamy]

How do you put the domain in this way? What is the method to define the direction of r

[ddwekvl]

why don't you try with spherical coordinate?

[layalsharaf]

Dr here why you put z=2r^2 notice that x doesn't equal r?

[lathaganesh]

doubt if r=2, h=8, v= pi r^2h = 3.14*2*2*8 = 32 pi