To find the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is a mathematical constant approximately equal to 3.14159.
For a cylinder with a base radius \( r = 8 \) inches and a height \( h = 40 \) inches, you would substitute these values into the formula:
\[ V = \pi (8)^2 (40) \]
Now calculate it step by step:
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Calculate \( 8^2 \): \[ 8^2 = 64 \]
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Substitute back into the volume formula: \[ V = \pi (64)(40) \]
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Calculate \( 64 \times 40 \): \[ 64 \times 40 = 2560 \]
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So the volume becomes: \[ V = 2560\pi \text{ cubic inches} \]
Thus, the final formula to find the volume of the cylinder is: \[ V = 2560\pi \approx 8042.99 \text{ cubic inches} \text{ (using } \pi \approx 3.14159\text{)} \]
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