To find the mass of the steel cylinder, we first need to calculate its volume and then use the density to find the mass.
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Calculate the volume of the cylinder using the formula:
\[ \text{Volume} = \pi r^2 h \]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- \( r = 10 \) cm,
- \( h = 8 \) cm,
- \( \pi \approx 3.14 \).
Substitute these values into the formula:
\[ \text{Volume} = 3.14 \times (10 , \text{cm})^2 \times 8 , \text{cm} \] \[ = 3.14 \times 100 , \text{cm}^2 \times 8 , \text{cm} \] \[ = 3.14 \times 800 , \text{cm}^3 \] \[ = 2512 , \text{cm}^3 \]
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Calculate the mass of the cylinder using the formula:
\[ \text{Mass} = \text{Density} \times \text{Volume} \]
Given the density of the cylinder is \( 0.008 , \text{kg/cm}^3 \):
\[ \text{Mass} = 0.008 , \text{kg/cm}^3 \times 2512 , \text{cm}^3 \] \[ = 20.096 , \text{kg} \]
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Round the mass to the nearest tenth:
The mass is approximately \( 20.1 , \text{kg} \).
Thus, the answers are:
- Volume = 2512 cm³
- Mass = 20.1 kg