Calculus 3: Triple Integrals (22 of 25) Finding the Integral: Ex. 1: Cylindrical Coordinates

In this video I will find the volume formed by a paraboloid in cylindrical coordinates.

Next video in this series can be seen at:

[bBbKce]

though i'm new to these kinds( other than one variable calculus)felt it easier

[liesalllies]

z=4-x^2-y^2 describes a paraboloid with its vertex at 4, not 2?

[shreyanshanchlia]

you said that this isn't the volume then what did we find using this triple integral (x+y+z)

[erikch]

How would you find theta if you didn’t have a picture ?

[MasayoMusic]

Why can't the limits of y (rectangular coordinates) be 0 to 2 (the same way x was)?
Thank you.

[abdulrahmanmohamed]

sir, cant u just set the upper limit of integration dz in cylindrical coordi to 2? like u did with dx?