# Metal tube

Calculate the metal tube mass 8dm long with the outer radius 5cm and the inner radius 4.5cm and 1cm3 of this metal is 9.5g.

Correct result:

m =  11.341 kg

#### Solution:

$r_{1}=4.5 \ \text{cm} \ \\ r_{2}=5 \ \text{cm} \ \\ l=8 \ dm \rightarrow cm=8 \cdot \ 10 \ cm=80 \ cm \ \\ \ \\ S=\pi \cdot \ r_{2}^2 - \pi \cdot \ r_{1}^2=3.1416 \cdot \ 5^2 - 3.1416 \cdot \ 4.5^2 \doteq 14.9226 \ \text{cm}^2 \ \\ \ \\ \ \\ V=S \cdot \ l=14.9226 \cdot \ 80 \doteq 1193.8052 \ \text{cm}^3 \ \\ \ \\ r=9.5 \ \text{g/cm}^3 \ \\ m_{1}=r \cdot \ V=9.5 \cdot \ 1193.8052 \doteq 11341.1495 \ \text{g} \ \\ \ \\ m=m_{1} \rightarrow kg=m_{1} / 1000 \ kg=11341.14947946 / 1000 \ kg=11.341 \ kg=11.341 \ \text{kg}$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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