Cylinder can

The paint is sold in a cylinder-shaped can with a height of 24.5 cm and a diameter of 15 cm. A full can weighs 5.5 kg, and an empty can weighs 200 grams. How much does 1 liter of paint weigh?

Final Answer:

m =  1.2242 kg

Step-by-step explanation:

$$\begin{gathered} h=24.5\text{cm}\to \text{dm}=24.5:10\text{dm}=2.45\text{dm} \\ d=15\text{cm}\to \text{dm}=15:10\text{dm}=1.5\text{dm} \\ {m}_0=200\text{g}\to \text{kg}=200:1000\text{kg}=0.2\text{kg} \\ r=d/2=1.5/2=\frac{3}{4}=0.75\text{dm} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 0.75^2\cdot 2.45\doteq 4.3295{\text{dm}}^3 \\ {V}_1=V=4.3295\doteq 4.3295\text{l} \\ {m}_1=5.5-m_0=5.5-0.2=\frac{53}{10}=5.3\text{kg} \\ \rho =m_1/V_1\text{kg/l} \\ m=m_1/V_1=5.3/4.3295=1.2242\text{kg} \end{gathered}$$

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