Calculate the volume in cu. ft. of a section of drainage pipe that measures 8 feet in length and 24 inches in diameter. (Hints: remember that all measurements must be in the same units, and be careful that you distinguish between diameter and area when using the formula.)
a) 25.12 cu. ft.
b) 50.24 cu. ft.
c) 90.4 cu. ft.
d) 96 cu. ft.
2007-02-08 20:38:49 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
3.14*1 *8 = 25.12 cu ft.
2007-02-08 20:46:07 · answer #1 · answered by ag_iitkgp 7 · 0⤊ 0⤋
The volume V of a section of drainage pipe:
V = Pi*r^2*l.
Here the radius r = Diameter/2 = 24 inches /2 =12 inches = 1 ft.
l = 8ft and Pi = 3.142.
Hence V= 25.136 cu.ft. Answer. Letter (a) Answer.
2007-02-09 05:00:42 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Assuming the cross-section is circular (it needn't be -- there are other constant-diameter shapes), the volume is that of a cylinder 8 feet long and 1 foot in radius.
Formula for the volume of a cylinder: length * area
|--: length = 8 feet
|--: area = Ï(radius)² = Ï*(1 foot)² = Ï sq ft
|--: volume = (8 feet) * (Ï sq ft) ~= 25.13274 cubic feet
The first answer, (a), is very close and almost exact.
2007-02-09 04:56:29 · answer #3 · answered by Joe S 3 · 0⤊ 0⤋
V = Ï r² h = Ï x 1² x 8 ft ³ = 25.12 ft ³
This is answer a)
2007-02-09 04:48:42 · answer #4 · answered by Como 7 · 0⤊ 0⤋
The question is flawed. Is the Diameter the working diameter, the ID or OD.
ID=Interior Dimension
OD=Outer Dimension
ID and OD are not often used by lay people , a plumber knows how much they matter.
I am retired and do not have that table with me. Good question!
2007-02-09 04:54:17 · answer #5 · answered by Anonymous · 2⤊ 0⤋