Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Use 3.14 for pi. Round our answer to the nearest hundredth.
The radius of the cylinder is $16/2=8$ inches, so the volume of the cylinder is $\pi \cdot 8^2 \cdot 7 = 3.14\cdot64\cdot7=1409.92$ cubic inches to the nearest hundredth. Therefore, the answer is $\boxed{1409.92}$ cubic inches.
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I apologize for the incorrect explanation in my previous response. To find the volume of a cylinder, you multiply the base area by the height.
The formula for the volume of a cylinder is given by $V = \pi r^2 h$, where $r$ is the radius of the base and $h$ is the height of the cylinder.
Given that the diameter of the cylinder is 16 inches, the radius is half of that, or 8 inches. The height of the cylinder is given as 7 inches.
Using the formula, we can substitute the values to find the volume:
$V = \pi \cdot 8^2 \cdot 7$
$V = 3.14 \cdot 64 \cdot 7$
$V \approx 1404.16$ cubic inches.
Therefore, the volume of the cylinder is approximately $\boxed{1404.16}$ cubic inches to the nearest hundredth.