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.
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Description of pipe:
Diameter: 3/4 in.
Thickness: 1/8 in.
Lead weighs 2/3 lbs. per cu.
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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.
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.
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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.
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.
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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
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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
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check my math. The method makes sense to me, but
my math could be WAY off!