SOLUTION: A length of pipe is to be made from 100 lbs. of lead. Determine length of pipe. Description of pipe: Diameter: 3/4 in. Thickness: 1/8 in. Lead weighs 2/3 lbs. per cu.

Question 1046258: A length of pipe is to be made from 100 lbs. of lead. Determine length of pipe.
Description of pipe:
Diameter: 3/4 in.
Thickness: 1/8 in.
Lead weighs 2/3 lbs. per cu. in.
Let l = length.
Unsure how to proceed.

Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52832) (Show Source): You can put this solution on YOUR website!
.
A length of pipe is to be made from 100 lbs. of lead. Determine length of pipe.
Description of pipe:
Diameter: 3/4 in.
Thickness: 1/8 in.
Lead weighs 2/3 lbs. per cu. in.
Let l = length.
Unsure how to proceed.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1. From one side, the volume of lead is V = = = 150 cubic inches. 2. From the other side, the volume of the solid body which is formed by the wall of the pipe, is V = - , where D = in is the outer diameter, d = = = = in is the inner diameter. So, V = = = = . 3. Therefore, you have an equation = 150. Solve it for L, the tube length: L = = = 611.46 inches. Answer. 611.46 inches.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
My method would be to consider the pipe to be a solid
cylinder of length and then subtract away the volume
of the hollow inside cylinder, giving you the pipe.
------------------------------
Area of the outside circle is:

------------------------------
Area of the inside circle is:

----------------------
The cross section area of actual pipe is:

This area times is the volume of the pipe in in3
----------------------
Density in lbs/in3 times volume in in3 = weight of lead in pounds

The pipe is 1111.1913 inches long
or

92.5993 ft long
-------------------
check my math. The method makes sense to me, but
my math could be WAY off!

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