SOLUTION: find the waste in making the largest possible cylindrical rod from a bar of iron 3 feet long which has a square cross section whose diagonal is 6 inches
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Question 395600: find the waste in making the largest possible cylindrical rod from a bar of iron 3 feet long which has a square cross section whose diagonal is 6 inches
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
find the waste in making the largest possible cylindrical rod from a bar of iron
3 feet long which has a square cross section whose diagonal is 6 inches
:
Find the length of the sides (x) of the square cross section
x^2 + x^2 = 6^2
2x^2 = 36
x^2 = 18
x = ; inches, side of the bar; this is also the diameter of the cylinder
Find the volume of the bar of iron
**3 = 18*3 = 54 cu/inches, vol of the bar
:
Radius of the cylinder
r =
Volume of the cylinder
V =
V =
V = 42.41 cu/inches
:
Find the waste
54 - 42.41 = 11.6 cu/inches wasted
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