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Water Flows Out of a Garden

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Water flows out of a garden hose nozzle at 1.2 m/s. The nozzle has a diameter of 2cm. How long will it take to fill a paddling pond which is cylindrical with diameter 2m and depth 20cm?

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Solution Summary

Water flows out of a garden hose nozzle at 1.2 m/s. The nozzle has a diameter of 2cm. How long will it take to fill a paddling pond which is cylindrical with diameter 2m and depth 20cm?

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Dear Student,
Please read below for your solution:
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What you are asked.
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Here you are asked to calculate the time the nozzle would take to fill up the cylinder.

Problem definition:
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First thing to note is that, the problem has not given us the volume of the cylinder but it has given you enough data to find the volume ourselves. We can do that.

Second, it tells us how fast the nozzle is and the nozzle diameter, which should hint ...

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