Math Help - volume

1. volume

A spherical cap of radius p and height h is cut from a sphere of radius r. Show that the volume V of the spherical cap can be expressed as

A) (1/3)pi h^2 (3r-h)
B) (1/6)pi h (3p^2 + h^2)

2. Could you perhaps illustrate with a picture what you mean?

3. Originally Posted by janvdl
Could you perhaps illustrate with a picture what you mean?
This is what he means:

4. Hello, Csou090490!

I can help with part (A) . . .

A spherical cap of radius p and height h is cut from a sphere of radius r.
Show that the volume V of the spherical cap can be expressed as:

A) (1/3)πh²(3r - h)

B) (1/6)π h(3p² + h²)
Code:
                |
* * *
*     |     *
*       |     |:*
*        |     |::*
|     |:::
*         |     |:h:*
--*---------+-----+---*--
*         |    r-h  * r
|
*        |        *
*       |       *
*     |     *
* * *
|
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ._____
We have a circle: .x² + y² .= . . . y .= .√r² - x²