Question

How are the formulas for the volume of a cylinder, pyramid, and cone derived?

Answer 1

@TheSmartOne @sleepyjess

Answer 2

using calculus

Answer 3

I guess

Answer 4

But my subject is geo

Answer 5

And calculus is way beyond my level .-.

Answer 6

Well, the formula for the volume of a cone is 1/3 the volume of the cylinder.

Answer 7

@iGreen They want to know how to derive it. :P

Answer 8

Check this , http://www.petervis.com/mathematics/Volume_of_Cone_Derivation_Proof/Volume_of_Cone_Derivation_Proof.html

Answer 9

http://www.mathwarehouse.com/solid-geometry/cone/formula-volume-of-cone.php

Answer 10

Lol, I know.. :P

Answer 11

If anybody can do it @amistre64 can.

Answer 12

I don't need it in special formula but it being written out would be nice

Answer 13

@iGreen i hope so.

Answer 14

This explains it nicely too: http://www.shmoop.com/basic-geometry/volume-pyramids-cones.html

Answer 15

\[\int_{0}^{h}\frac{\pi}{m^2}u^2du\]
\[\frac{\pi}{3m^2}h^3\]
\[\frac{\pi}{3}\frac{hhh}{mm}~:~r=h/m\]
\[\frac{\pi}{3}r^2h\]

Answer 16

tada!!! lol