Pipe thickness

The outer circumference of the tube is 32cm. Its length is 60cm, its density is 8.5g/cm³, and its weight is 9.495kg. Calculate the wall thickness of the pipe.

Correct answer:

h =  0.6195 cm

Step-by-step explanation:

$$\begin{gathered} o=32\text{cm} \\ L=60\text{cm} \\ \rho =8.5{\text{g/cm}}^3 \\ m=9.495\text{kg}\to \text{g}=9.495\cdot 1000\text{g}=9495\text{g} \\ m=\rho V \\ V=m/\rho =9495/8.5=\frac{18990}{17}\doteq 1117.0588{\text{cm}}^3 \\ o=2\pi R \\ R=o/(2\pi )=32/(2\cdot 3.1416)\doteq 5.093\text{cm} \\ V=S\cdot L \\ S=V/L=1117.0588/60=\frac{633}{34}\doteq 18.6176{\text{cm}}^2 \\ {S}_1=\pi \cdot R^2=3.1416\cdot 5.093^2\doteq 81.4873{\text{cm}}^2 \\ S=S_1-S_2 \\ {S}_2=S_1-S=81.4873-18.6176\doteq 62.8697{\text{cm}}^2 \\ {S}_2=\pi r^2 \\ r=\sqrt{S_2/\pi }=\sqrt{62.8697/3.1416}\doteq 4.4735\text{cm} \\ h=R-r=5.093-4.4735=0.6195\text{cm} \end{gathered}$$

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