To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where \(V\) is the volume, \(r\) is the radius, \(\pi\) is approximately 3.14, and \(h\) is the height.
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First, determine the radius of the cylinder. The diameter is 16 inches, so the radius \(r\) is half of the diameter: \[ r = \frac{d}{2} = \frac{16}{2} = 8 \text{ inches} \]
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Next, substitute the values into the volume formula. The height \(h\) is 7 inches: \[ V = 3.14 \times (8)^2 \times 7 \]
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Calculate \(8^2\): \[ 8^2 = 64 \]
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Now, substitute back into the formula: \[ V = 3.14 \times 64 \times 7 \]
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Calculate \(64 \times 7\): \[ 64 \times 7 = 448 \]
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Finally, calculate \(V\): \[ V = 3.14 \times 448 = 1407.52 \]
The volume of the cylinder, rounded to the nearest hundredth, is: \[ \boxed{1407.52} \text{ cubic inches} \]