First, calculate the volume of the cylindrical tank using the formula for the volume of a cylinder:
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- A cylindrical tank with a radius of 3 meters and a height of 10 meters is being filled with water at a rate of 2 cubic meters per minute. How many minutes will it take to fill the tank completely?
- V = \pi \times 3^2 \times 10 = 90\pi \text{ cubic meters}
- The tank is being filled at a rate of 2 cubic meters per minute. To find the time required to fill the tank, divide the volume by the rate:
- \text{Time} = \frac{90\pi}{2} \approx 141.37 \text{ minutes}
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