How much dirt is in a circular hole that is three feet deep, with a bottom of 1 foot in diameter and a top of two feet in diameter?
2007-01-20 00:58:13 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The volume of a frustum is
V = 1/3 h (A1 + A2 + Sqrt(A1A2))
where h = 3, A1 = (1/4) pi, A2 = pi, so that we have:
V = (1/3) (3) (pi) (1/4 + 1 + 1/2) = (7/4) pi cubic feet
The quantity of dirt per cubic foot of hole is 0, so that we may calculate the total quantity of dirt in the hole as follows:
Q = (0) (7/4) pi = 0 cubic feet of dirt, an unexpected result. It must be wondered how many other holes have this same property.
2007-01-20 01:08:18 · answer #1 · answered by Scythian1950 7 · 0⤊ 0⤋
late night?
it is 7 am here
(no dirt in a hole)
if you want the volume of the hole
Volume of a Cylinder
The volume of a cylinder
equals the (area of the base)*height = Ï r2 h
2007-01-20 09:05:55 · answer #2 · answered by KIZZ 2 · 0⤊ 0⤋
Is the hole fill(full) with dirt? Or the hole is empty?
2007-01-20 09:21:16 · answer #3 · answered by Bored 3 · 0⤊ 0⤋
There is no dirt in a hole!
2007-01-20 10:15:17 · answer #4 · answered by steiner1745 7 · 0⤊ 0⤋
The volume is 18.85.......and goes on.Its the volume of frustrum.And by the by Its not that late when u were asking twas only 7:45.
2007-01-20 10:02:08 · answer #5 · answered by Anonymous · 0⤊ 0⤋
there is nothing in a hole or it would not be a hole
durr
2007-01-20 10:07:56 · answer #6 · answered by Anonymous · 0⤊ 0⤋
NONE
IT'S A HOLE SO IS EMPTY
2007-01-20 09:00:40 · answer #7 · answered by Anonymous · 1⤊ 0⤋
that depends....how much did you/anyone else put in there??
2007-01-20 09:06:08 · answer #8 · answered by Layla 3 · 0⤊ 0⤋