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 answer:

m =  11.3411 kg

Step-by-step explanation:

$$\begin{gathered} r_1=4.5\text{ cm } \\ {r}_2=5\text{ cm } \\ l=8\text{ dm}\to \text{ cm}=8\cdot 10\text{ cm}=80\text{ cm } \\ S=\pi \cdot r_2^2-\pi \cdot r_1^2=3.1416\cdot 5^2-3.1416\cdot 4.5^2\doteq 14.9226{\text{cm}}^2 \\ V=S\cdot l=14.9226\cdot 80\doteq 1193.8052{\text{cm}}^3 \\ r=9.5{\text{g/cm}}^3 \\ {m}_1=r\cdot V=9.5\cdot 1193.8052\doteq 11341.1495\text{ g } \\ m=m_1\to \text{ kg}=m_1\mathrm{/}1000\text{ kg}=11341.1495\mathrm{/}1000\text{ kg}=11.341\text{ kg}=11.3411\text{ kg} \end{gathered}$$

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