Deriving the Equation of the Volume of a Sphere Using Triple Integration

In this video, we go through the process of deriving the equation for the volume of a sphere using triple integration. We will start with basic calculus concepts and work our way up to advanced mathematical equations to give you a comprehensive understanding of how this formula is derived.

Whether you’re a student studying calculus or just looking to expand your mathematical knowledge, this video is perfect for anyone interested in learning more about how formulas are created. After watching this video, you’ll have a deeper appreciation for the complexities of mathematics and how it applies to real-life scenarios.

[swaminsane]

I think I will never forget the formula now

[markmcflounder]

If you forget the formula for a sphere you just have to remember р^2sinф dр dф d theta to remember it

[Kunjambu-df]

Exactly one year ago i stumbled upon this video not know what it was. Now Im here after calc3.😊

[Alqahqah]

You can also find the mass of the sphere by adding the mass vector to the integral

[和Ash_和]

Just integrate the surface area of sphere.

TSA=4πr²
Integrate(4πr²)
=(4πr³)/3. Easy!

[adityadeodhar]

why not just use volumes of rotation???

[rickyraj]

I may forget my name but not that one
Wait.... What was it again
Huh
I can always integrate it....

[ruzgar]

Sorry but single integral gives area. Double integral gives voluma and doesn’t that mean that triple integral gives whatever the property of 4th dimension is? Im confused