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A milk tank is in the form of a cylinder...

A milk tank is in the form of a cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank.

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To find the quantity of milk that can be stored in a cylindrical tank, we need to calculate the volume of the cylinder using the formula for the volume of a cylinder, which is given by: \[ V = \pi r^2 h \] Where: - \( V \) is the volume, - \( r \) is the radius of the cylinder, - \( h \) is the height (or length) of the cylinder. ### Step-by-Step Solution: 1. **Identify the given values:** - Radius \( r = 1.5 \) m - Height \( h = 7 \) m 2. **Substitute the values into the volume formula:** \[ V = \pi (1.5)^2 (7) \] 3. **Calculate \( r^2 \):** \[ (1.5)^2 = 2.25 \] 4. **Substitute \( r^2 \) back into the volume formula:** \[ V = \pi (2.25) (7) \] 5. **Calculate \( 2.25 \times 7 \):** \[ 2.25 \times 7 = 15.75 \] 6. **Now substitute the value of \( \pi \):** We can use \( \pi \approx \frac{22}{7} \) for calculation. \[ V = \frac{22}{7} \times 15.75 \] 7. **Calculate \( \frac{22}{7} \times 15.75 \):** \[ V = \frac{22 \times 15.75}{7} = \frac{346.5}{7} = 49.5 \text{ m}^3 \] 8. **Convert cubic meters to liters:** Since \( 1 \text{ m}^3 = 1000 \text{ liters} \): \[ V = 49.5 \text{ m}^3 \times 1000 = 49500 \text{ liters} \] ### Final Answer: The quantity of milk that can be stored in the tank is **49500 liters**.
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