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.

Ask by Lynch Mcfarlane. in the United States

Mar 28,2025

Question

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.

Ask by Lynch Mcfarlane. in the United States

Mar 28,2025

UpStudy AI · Accepted Answer

To find the volume of rainwater in the barrel, we need to calculate the volume of the water in the barrel.

Given:
- Height of the barrel = 3.5 feet
- Diameter of the barrel = 2 feet
- Water level at the end of the week = 6 inches from the top of the barrel

First, we need to convert the water level from inches to feet:
$$ 6 \, \text{inches} = \frac{6}{12} \, \text{feet} = 0.5 \, \text{feet} $$

Next, we calculate the volume of the water in the barrel using the formula for the volume of a cylinder:
$$ V = \pi r^2 h $$
where:
- $$ V $$ is the volume of the water
- $$ r $$ is the radius of the barrel
- $$ h $$ is the height of the water

Given that the diameter of the barrel is 2 feet, the radius is half of the diameter:
$$ r = \frac{2}{2} = 1 \, \text{foot} $$

Now, we can calculate the volume of the water in the barrel:
$$ V = \pi (1)^2 (3.5 - 0.5) $$
$$ V = \pi (1)^2 (3) $$
$$ V = 3\pi $$

To find the volume in cubic feet to the nearest hundredths, we can calculate $$ 3\pi $$ and round it to two decimal places.
Calculate the value by following steps:
- step0: Calculate:
  $$3\pi $$
The volume of the water in the barrel is approximately $$ 9.42 \, \text{ft}^3 $$ to the nearest hundredths.

Therefore, the correct answer is:
A. $$ 9.42 \, \text{ft}^3 $$
The barrel contains approximately $$ 9.42 \, \text{ft}^3 $$ of rainwater.

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.

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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.

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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.