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).
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Calculate the radius:
- The diameter of the hot tub is 10 feet, so the radius \( r \) is half of the diameter: \[ r = \frac{10}{2} = 5 \text{ feet} \]
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Use the depth as the height:
- The depth \( h \) is 3.5 feet.
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Plug these values into the volume formula: \[ V = \pi (5^2)(3.5) \] \[ V = \pi (25)(3.5) \] \[ V = 87.5\pi \]
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Approximate the value of \(\pi\):
- Using \(\pi \approx 3.14\): \[ V \approx 87.5 \times 3.14 \approx 274.45 \]
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Round to the nearest whole number: \[ V \approx 274 \]
Therefore, the hot tub can hold approximately 274 cubic feet of water.