2007-01-02 00:22:59 · 8 answers · asked by NAPSTER 1 in Science & Mathematics ➔ Mathematics
a cone os basically the same workings as a pyramid, just a different base shape.
The volume of a pyramid is: × base area × perpendicular height.
Therefore, the volume of a cone is: r2h.
The curved surface area of a cone is: rl (where l is the slant height).
2007-01-02 00:32:47 · answer #1 · answered by bexington square 2 · 0⤊ 0⤋
The volume of a cone is (1/3) * pi * r^2 * h, where r is the radius of the cone's base and h is the height of the cone.
The techniques needed to prove that this formula is correct are typically learned in a second-semester Calculus course; I won't go into them here.
2007-01-02 02:31:27 · answer #2 · answered by Anonymous · 0⤊ 0⤋
The volume of a cone is 1/3(Area of Base)(height) = [(1/3) (π) (r^2) (h)]
A cone is one third the volume of a cylinder. Therefore, if you know the volume of a cylinder, you can find the volume of a cone.
2007-01-02 00:48:53 · answer #3 · answered by Kilroy 4 · 0⤊ 0⤋
If you're asking how to derive it, that's pretty deep stuff that may involve Calculus techniques.
If, however, you're simply asking for the formula, it is
V = 1/3 pi (r^2) h
Where r is the radius and h is the height of the cone.
2007-01-02 00:27:00 · answer #4 · answered by Puggy 7 · 0⤊ 0⤋
Volume = Area of the base x 1/3 the altitude
2007-01-02 04:51:27 · answer #5 · answered by David C 2 · 0⤊ 1⤋
half the area of the base times the vertical height
2007-01-02 00:41:05 · answer #6 · answered by ERIC J 1 · 0⤊ 1⤋
four over three pi r q
2007-01-02 00:26:48 · answer #7 · answered by koolciaran 2 · 0⤊ 1⤋
by googling : http://www.321know.com/exp79_x3.htm
2007-01-02 00:26:39 · answer #8 · answered by gjmb1960 7 · 0⤊ 0⤋