Question
A company rents water tanks shaped like cylinders. Each tank has a radius of 4 feet and a height of 3 feet. The cost is $5 per cubic foot. How much does it cost to rent one water tank?
Answers
GPT-4o mini
To calculate the cost to rent one water tank, we first need to determine the volume of the cylindrical tank.
The formula for the volume \( V \) of a cylinder is given by:
\[
V = \pi r^2 h
\]
where
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given that the radius \( r \) is 4 feet and the height \( h \) is 3 feet, we can substitute these values into the formula:
\[
V = \pi (4)^2 (3) = \pi (16)(3) = 48\pi
\]
Now, we can calculate the volume using \( \pi \approx 3.14 \):
\[
V \approx 48 \times 3.14 \approx 150.72 \text{ cubic feet}
\]
Next, we know the cost to rent the tank is $5 per cubic foot. Thus, we calculate the total cost \( C \) by multiplying the volume by the cost per cubic foot:
\[
C = 150.72 \times 5 = 753.6
\]
Therefore, the cost to rent one water tank is:
\[
\boxed{753.60}
\]
The formula for the volume \( V \) of a cylinder is given by:
\[
V = \pi r^2 h
\]
where
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given that the radius \( r \) is 4 feet and the height \( h \) is 3 feet, we can substitute these values into the formula:
\[
V = \pi (4)^2 (3) = \pi (16)(3) = 48\pi
\]
Now, we can calculate the volume using \( \pi \approx 3.14 \):
\[
V \approx 48 \times 3.14 \approx 150.72 \text{ cubic feet}
\]
Next, we know the cost to rent the tank is $5 per cubic foot. Thus, we calculate the total cost \( C \) by multiplying the volume by the cost per cubic foot:
\[
C = 150.72 \times 5 = 753.6
\]
Therefore, the cost to rent one water tank is:
\[
\boxed{753.60}
\]