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an industrial mixing tank has a volume of \( 9.7 \mathrm{~m}^{3} \). ind how many liters of water it would take to completel he tank. Use the table of conversion facts, as needed.

Ask by Parsons Reeves. in the United States
Jan 22,2025

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Answer

It would take 9,700 liters of water to completely fill the mixing tank.

Solution

To determine how many liters of water are needed to completely fill an industrial mixing tank with a volume of \( 9.7 \, \mathrm{m}^3 \), we can use the conversion factor between cubic meters and liters. ### Conversion Fact: \[ 1 \, \mathrm{m}^3 = 1000 \, \mathrm{liters} \] ### Calculation: \[ \begin{align*} \text{Volume in liters} &= 9.7 \, \mathrm{m}^3 \times \frac{1000 \, \mathrm{liters}}{1 \, \mathrm{m}^3} \\ &= 9.7 \times 1000 \, \mathrm{liters} \\ &= 9700 \, \mathrm{liters} \end{align*} \] ### Conclusion: It would take **9,700 liters** of water to completely fill the mixing tank.

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To determine how many liters of water it would take to completely fill an industrial mixing tank with a volume of \( 9.7 \mathrm{~m}^{3} \), you can use the conversion factor where \( 1 \mathrm{~m}^{3} = 1000 \) liters. Therefore, by multiplying the volume in cubic meters by the conversion factor: \[ 9.7 \, \mathrm{m}^{3} \times 1000 \, \text{liters/m}^3 = 9700 \, \text{liters} \] So, it would take 9,700 liters of water to fill the tank. Water is essential in many industrial processes, not just for mixing. In food production, pharmaceuticals, and even manufacturing, controlled volumes of water are crucial to maintain product consistency and quality. Additionally, when working with large mixing tanks, it’s vital to account for thermal expansion and the properties of the specific materials being mixed. For instance, certain materials may absorb water or change volume at different temperatures, potentially affecting the actual volume required.

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