Calculus 3: Triple Integrals (25.5 of 25) Finding the Volume Slice (CORRECT ANSWER)

In this video I will find the volume of a slice of a sphere.
This is a correction to video 25 of25 which can be found at:

First video in this series can be seen at:

[diyaael-shorbagy]

I believe this method is not right sir, this method would give the volume between two cones of angles thet2 and 3
The answer i calculated is 29/3 pi

[KryštofHájek-hc]

I believe this is an incorrect method. If you use volume of a revolution to find the volume, you get 29/3 pi

[atifsultan_mech]

@MichelvanBiezen i believe the method in this video will give the difference in volumes of two cones which will be a spherical cone of angle 18.59 (48.59-30) rotated about z-axis. The slice volume however that I calculated is 29pi/3. Please do correct if I am wrong

[rupertdeerow]

I think Michel is a great teacher, and I very much like these videos. I think the corrected portion of the video should have been revideoed since the overlettering is illegible to me.

[aramroshani]

Sir I have a question : We suppose on a optimal spherical hellium balloon in time T1 when its dimesions are (X1, Y1, Z1) we write a letter like as ''I'', the length of this letter is: L1, and we would like to predict this length modification between T(i-1) and T(i). Can we use a quadruple integral. 

Thanks advance.

[jacobsabata]

Thank you very much for doing these videos. It has given me a great review tremendously. I think you found the volume of the pie section rotated about the z-axis, not the volume of the slice, if that makes any sense.

[FranziskavonKarma]

It's my senior year of HS and schools are still closed.
I've been trying to learn maths (mostly Calc and CG) from textbooks, but your videos made it so much easier.
Thank you very much Michel, you're a great teacher.