Question
Rita has a circular hot tub. The hot tub has a diameter of 10 feet. It is 3.5 feet deep. How much water can the hot tub hold?(1 point)
Answers
GPT-4o mini
To find out how much water the hot tub can hold, we need to calculate the volume of the hot tub, which has the shape of a cylinder.
The formula for the volume \( V \) of a cylinder is given by:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height (or depth) of the cylinder.
1. First, we need to find the radius of the hot tub. The diameter is 10 feet, so the radius \( r \) is:
\[
r = \frac{10}{2} = 5 \text{ feet}
\]
2. The depth \( h \) of the hot tub is given as 3.5 feet.
3. Now we can plug the values into the volume formula:
\[
V = \pi (5)^2 (3.5)
\]
Calculating:
\[
V = \pi (25) (3.5) = 87.5\pi \text{ cubic feet}
\]
Using the approximation \( \pi \approx 3.14 \):
\[
V \approx 87.5 \times 3.14 \approx 274.75 \text{ cubic feet}
\]
Therefore, the hot tub can hold approximately **274.75 cubic feet** of water.
The formula for the volume \( V \) of a cylinder is given by:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height (or depth) of the cylinder.
1. First, we need to find the radius of the hot tub. The diameter is 10 feet, so the radius \( r \) is:
\[
r = \frac{10}{2} = 5 \text{ feet}
\]
2. The depth \( h \) of the hot tub is given as 3.5 feet.
3. Now we can plug the values into the volume formula:
\[
V = \pi (5)^2 (3.5)
\]
Calculating:
\[
V = \pi (25) (3.5) = 87.5\pi \text{ cubic feet}
\]
Using the approximation \( \pi \approx 3.14 \):
\[
V \approx 87.5 \times 3.14 \approx 274.75 \text{ cubic feet}
\]
Therefore, the hot tub can hold approximately **274.75 cubic feet** of water.