Water drips from a faucet into a flask at the rate of two drops every 6 seconds. A cubic centimeter (cm3) contains 20 drops. What volume of water, in cubic decimeters (dm3), will be collected in 1 hour?

(2 drops/6 sec)*(1 cm^3/20 drops)*(3600s/h)= 60 cm^3/hour

Now convert cm^3 to dm^3. There are 1000 cm^3 in a dm^3 (liter)

To find the volume of water collected in 1 hour, we need to calculate the number of drops per hour and then convert it to cubic decimeters (dm3).

First, let's calculate the number of drops per hour:
2 drops every 6 seconds means there are 2/6 = 1/3 drops per second.
In 1 minute, there are 60 seconds, so there are 60 * (1/3) = 20 drops per minute.
In 1 hour, there are 60 minutes, so there are 60 * 20 = 1200 drops per hour.

Next, let's convert the number of drops to cubic decimeters (dm3):
We know that 1 cm3 contains 20 drops, so there are 1/20 = 0.05 cm3 per drop.
To convert from cm3 to dm3, we divide by 1000, since there are 1000 cm3 in 1 dm3.
Therefore, each drop is equal to 0.05/1000 = 0.00005 dm3.

Now, let's calculate the volume of water collected in 1 hour:
Volume = Number of drops * Volume per drop
Volume = 1200 drops * 0.00005 dm3/drop
Volume = 0.06 dm3

So, the volume of water collected in 1 hour is 0.06 cubic decimeters (dm3).