Calculus 3: Triple Integrals (20 of 25) Finding the Volume of a Right Circular Cone

In this video I will find the volume of a right circular cone in cylindrical coordinates.

Next video in this series can be seen at:

[lordyabo]

Sir, thank you so much for this video!!

[R_Y_Z_E_N]

We will get the same result if we take z from 0 to 4 ie cylinder and then mulitplying cylinder volume by 1.by 3 right?

[abdulrahmanmohamed]

sir, why didn't u just set the lower limit for dz equals 0?? why did u must set it equals to 4R/3???

[sreedharb.k]

Why can't the z limit be set as 0 to 4r/3 instead of 4r/3 to 4?

[kingsleyhng]

sir, why i got the a different answer if i change the limit of dz from 0 to 4 and 3z/4 to 3 for dr

[brajasekar]

Sir while integrating we will be getting cylinder volume right how cone volume

[ScholarStream_]

Sir how is the limits of r from 0 to is it given in the question

[georgesalexandrebajk]

Sir why z= 4/3 sqrt(x2 +y2) i mean where did we get 4/3 (or h/r)

[Augustus]

sir in general suppose our sphere radius is 'a' unit and height is 'h'. Then how can we get the lower limit of z

[MrMyutubechannel]

doesn't the order of integration go from inside outside? you have z on the inside, paired with dr; and then on the outside you have r paired with dz. what am I missing?

[khizrajawad]

from where we get 4/3, have u suppose them in figure

[brajasekar]

Sir in heading u have given volume of right circular cone but this one the volume is equal to the( volume of cylinder --- the volume of cone) so kindly change the z limit as 0 to 4r/3 or otherwise change the heading☺️☺️☺️