To find the mass of the steel cylinder, we can use the following steps:
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Calculate the volume of the cylinder using the formula: \[ V = \pi r^2 h \] where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.
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Convert the radius and height from centimeters to meters:
- Radius \( r = 10 \) cm = \( 0.10 \) m,
- Height \( h = 8 \) cm = \( 0.08 \) m.
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Substitute the values into the volume formula: \[ V = \pi (0.10)^2 (0.08) \] \[ = 3.14 \times 0.01 \times 0.08 \] \[ = 3.14 \times 0.0008 \] \[ = 0.002512 \text{ m}^3 \]
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Calculate the mass using the formula: \[ \text{mass} = \text{density} \times \text{volume} \] Given that the density of the steel cylinder is \( 8,000 \) kg/m³: \[ \text{mass} = 8,000 \text{ kg/m}^3 \times 0.002512 \text{ m}^3 \] \[ = 20.096 \text{ kg} \]
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Round the answer to the nearest tenth:
- The mass of the cylinder is approximately \( 20.1 \) kg.
Therefore, the mass of the cylinder is 20.1 kg.
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