Darmel coliected ram water in a small barrel that was 3.5 feet tat and had a diameter of 2 leet.
the end of the week, the water level was 6 inches from the top of the barel. About how many
cub- feet of rain water were in the barel to the nearest hundredths? (12 foot)
A.
B.
C.
D.

To find the volume of rainwater collected in the barrel, we first need to convert all measurements to feet. The barrel is 3.5 feet tall with a diameter of 2 feet. The radius is half of the diameter, so the radius is 1 foot. The water level is 6 inches from the top, which means the water is at 3.5 feet - 0.5 feet = 3 feet high.

Using the formula for the volume of a cylinder, , we can calculate the volume:

So the answer is .

One common mistake in this problem is forgetting to convert inches to feet correctly. Since 12 inches make a foot, ensuring you adjust the water level by subtracting the height of the barrel minus the inches is crucial. This step can be easily overlooked, leading to large errors in volume calculation. Remember, a little attention to detail goes a long way!