Q.A fuel gas cylinder has an internal diameter of 2.8 decimeters and a height of 7.5 decimeters. If the weight of the gas is 325 grams per cubic decimeter, then how many kilograms of gas are in the cylinder?

The radius of the gas cylinder is \[ r = \frac{2.8}{2} = 1.4 \text{ decimeters} \] and the height is \[ h = 7.5 \text{ decimeters} \] Therefore, the volume of the gas cylinder is \[ \pi r^2 h = \frac{22}{7} \times (1.4)^2 \times 7.5 \text{ cubic decimeters} \] \[ = \frac{22 \times 14 \times 14 \times 75}{7 \times 10 \times 10 \times 10} = 46.2 \text{ cubic decimeters} \] So, the amount of gas in the cylinder is \[ 325 \times 46.2 = 15015 \text{ grams} = 15.015 \text{ kilograms} \quad \text{(Answer)} \]
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