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)

cubic feet


the answer has to be a whole number

Answer 1

To find out how much water the circular hot tub can hold, we need to calculate its volume. The volume \( V \) of a cylinder can be found using the formula:

\[
V = \pi r^2 h
\]

where \( r \) is the radius and \( h \) is the height (or depth in this case).

1. **Calculate the radius**:
- The diameter of the hot tub is 10 feet, so the radius \( r \) is half of the diameter:
\[
r = \frac{10}{2} = 5 \text{ feet}
\]

2. **Use the depth as the height**:
- The depth \( h \) is 3.5 feet.

3. **Plug these values into the volume formula**:
\[
V = \pi (5^2)(3.5)
\]
\[
V = \pi (25)(3.5)
\]
\[
V = 87.5\pi
\]

4. **Approximate the value of \(\pi\)**:
- Using \(\pi \approx 3.14\):
\[
V \approx 87.5 \times 3.14 \approx 274.45
\]

5. **Round to the nearest whole number**:
\[
V \approx 274
\]

Therefore, the hot tub can hold approximately **274 cubic feet** of water.