Deriving The Formula - Volume Of Sphere

[zeke2812]

Awesome man! exactly what i was searching for!!

i'm making this for my maths model..

only if i'd find these cylinder and sphere... i'd get A+ for sure..!

[mattymath1]

You can't Derive mathematical truths by experiment. You must use proof. Sigh.

[DarthPickley]

very nice demonstration of the fact that the volume of a sphere is two thirds the volume of the cylinder with the same radius and a height equal to the diameter. not a derivation of the formula by mathematical standards, but perhaps by experiment.

[p0larz0mbies]

What no formula come on!!!

[Yu2Kal]

That isn't a proof at all, to do this you need calculus, use integration, volumes of revolution to be more exact. Take the curve, y^2 + x^2 = r^2 rotate around either the x or y axis, using integration find the volume, and multiply your final result by 2...

[trailkeeper]

(continued) Also, the volume of a cylinder is basically equal to the area of a circle at the base of the cylinder = (PI) r^2 , and then multiply this area by the height of all the unit volumes (ie where h=1) for each and every cylinder segments:

Volume of cylinder = (PI) r^2 h

[ski2golf]

Very clever and entertaining, but I'm sure you are aware it's knowledge by induction.

[partonfilaton]

how is that deriving the formula??

im too confused i didnt get the double integration part... but that's probably because IT WASNT THERE

[elfmotat]

@partonfilaton you only need a single integration ;).

[tyler121515]

You can also derive the formula for the volume of a sphere of radius a using cylindrical coordinates by taking the triple integral of r and having the bounds of z, r, and theta be 0 to Sqrt(a^2-r^2), 0 to a, and 0 to 2Pi, and then multiple the final answer by 2.

[TotalWarLord]

talk this was no help retard

[XxsheepslayerxX]

it fills up to 2/3 bEcuz its r^3 not d^3 and 2r=d

[SplintyDx]

wtf i cant read the last paper at the end. really fuzzy. u shudve edited the video when u made it.

[ChickenWingzz]

i liek mudkipz

[Altair9292]

i like pie...

[sengbiker]

I know already but just couldn't delete the comment.

[sengbiker]

The volume of sphere is (4/3)*pi*r^3 not (2/3)*pi*r^3

[y9kdude]

heh, you forgot you multiply the radius times 2 fool... :P so that makes it (2/3)*pi*2*r^3=(4/3)*pi*r^3 :P

[ozzzzzman]

Ofcourse you can calculate some volumes without having to use pi.

[Nightch1ld]

i can calculate the volume without pi