Water drips from a faucet into a flask at the rate of two drops every 3 seconds. A cubic centimeter contains 20 drops. What volume of water, in cubic decimeters will be collected in 1 hour?
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math. A faucet drips water at a constant rate. in 5 minutes, a total of 2 ounces of water drips from the faucet. part A: complete this table relating the number of minutes the water drips,x, to the number of ounces of water that drips, y . answer math
To find the volume of water collected in 1 hour, we need to convert all the given measurements to the same units. Let's go step by step.
First, we need to determine the number of drops collected in one hour. We know that two drops are collected every 3 seconds, so we can calculate the number of drops in one hour as follows:
Number of drops in 1 hour = (60 minutes/hour) * (60 seconds/minute) * (2 drops/3 seconds)
Now, let's convert the number of drops to volume. Given that a cubic centimeter contains 20 drops, we can calculate the volume of water collected in one hour as follows:
Volume of water in cubic centimeters = Number of drops in 1 hour / 20 drops/cubic centimeter
Finally, we need to convert the volume from cubic centimeters to cubic decimeters. Since 1 cubic decimeter is equal to 1000 cubic centimeters, the volume in cubic decimeters can be calculated as:
Volume of water in cubic decimeters = Volume of water in cubic centimeters / 1000 cubic centimeters/cubic decimeter
Let's plug in the numbers and calculate the answer:
Number of drops in 1 hour = (60 minutes/hour) * (60 seconds/minute) * (2 drops/3 seconds) = 2400 drops
Volume of water in cubic centimeters = 2400 drops / 20 drops/cubic centimeter = 120 cubic centimeters
Volume of water in cubic decimeters = 120 cubic centimeters / 1000 cubic centimeters/cubic decimeter = 0.12 cubic decimeters
Therefore, the volume of water collected in 1 hour is 0.12 cubic decimeters.