To find the volume of water the hot tub can hold, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where:
- \(V\) is the volume,
- \(r\) is the radius of the base,
- \(h\) is the height (or depth in this case).
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Find the radius: The diameter of the hot tub is 10 feet, so the radius \(r\) is half of that: \[ r = \frac{10}{2} = 5 \text{ feet} \]
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The height (depth): The depth \(h\) of the hot tub is given as 3.5 feet.
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Calculate the volume: \[ V = \pi r^2 h = \pi (5)^2 (3.5) \] \[ V = \pi \times 25 \times 3.5 \] \[ V = \pi \times 87.5 \] \[ V \approx 3.14159 \times 87.5 \approx 274.067 \text{ cubic feet} \]
The hot tub can hold approximately 274.07 cubic feet of water.