Finding Uncertainty of # Cans in Pool

[Echoeric666]

What is the volume of the pool?
165 m^3

What is the uncertainty in the volume of the pool? Express it in terms of cubic meters.
20.6 m^3

Joe's supervisor says, "Okay, Joe, your first job is the fill the pool. We used to use a hose, but it sprang a leak. Instead, you'll have to fill this soda can at the faucet over there, then dump it into the pool." The soda can is a cylinder 18 cm long and 4 cm in radius, with an uncertainty of 0.5 cm in each dimension.

What is the volume of the soda can?
905 cm^3

What is the uncertainty in the volume of the soda can?
251 cm^3

It takes Joe 2 seconds to transfer one can of water into the pool. How long will it take Joe to fill the entire pool?
3.6*10^5 s

What is the uncertainty in this time?
?

Homework Equations

I am struggling to come up with a reasonable equation to solve for uncertainty in this time (with the ? above)

The Attempt at a Solution

I tried 1.4*10^5 and 1.6*10^5...I figured it seemed off that uncertainty is 50% 3.6*10^5 seconds from above (the time it takes Joe to fill the entire pool).

 

[anathema]

I tried 1.4*10^5 seconds because when I rounded the length of the soda can up to 19 cm and used 1.4*10^5 seconds to fill the pool, I got an answer of 3.8*10^5 seconds, which is 0.2*10^5 seconds greater than 3.6*10^5 seconds. However, I am unsure if this is the correct approach or if there is a better equation to use. Any guidance would be appreciated.

Possible equation: uncertainty in time = (uncertainty in volume of soda can/volume of pool) * time to fill pool