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11111nata11111 [884]
3 years ago
9

A steel reinforcing rod is 12 ft. long and 1" thick in diameter. If a cubic foot of steel weighs 490 lb., how much does the rod

weigh (to the nearest pound)?
Mathematics
2 answers:
vladimir1956 [14]3 years ago
5 0
In cubic feet, the volume of the rod is given by the formula for the volume of a cylinder.
.. V = (π/4)*d^2*h
.. = (π/4)*(1/12 ft)^2*(12 ft)
.. = π/48 ft^3

Then the weight is
.. (490 lb/ft^3)*(π/48 ft^3) ≈ 32 lb
Ronch [10]3 years ago
4 0

Answer:

32 pounds

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%20%5Chuge%5Cfbox%5Cgreen%7BQUESTION%7D%20" id="TexFormula1" title=" \huge\fbox\green{QUESTION
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\huge \fbox \orange{♧Answer♧}

\mathcal\blue{METHOD\:1}

\mathsf \purple{ - ( \frac{y}{x} )}

\mathsf \purple{ - ( \frac{ - 4}{5})}

\mathsf \purple{( \frac{4}{5} )}

\mathcal\blue{METHOD\:2}

\mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)}

\mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)}

\mathsf\purple{( \frac{4}{5})}

\mathcal\blue{METHOD\:3}

\mathsf\purple{m\:=\:rise\:÷\:run}

\mathsf\purple{m\:=\:( \frac{4}{5})}

\mathbb\pink{NOTE:}

  • The difference between the y-coordinates of the two points is called the rise.
  • The difference between the x-coordinates of the same two points is called the run.
  • The slope can be calculated by dividing the rise by run.
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