It looks like you're trying to calculate the volume of a shape using the formula \( V = \frac{4}{3} \pi r^3 \), which is the formula for the volume of a sphere, not a cylinder. However, you've provided a radius and height, which may indicate you are looking for the volume of a cylinder.
Volume of a Cylinder
The volume \( V \) of a cylinder can be calculated using the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- \( r = 6 \) feet
- \( h = 12 \) feet
Calculation:
-
Calculate \( r^2 \): \[ r^2 = 6^2 = 36 \text{ square feet} \]
-
Plug in the values: \[ V = \pi \times 36 \times 12 \]
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Calculate \( \pi \times 36 \times 12 \): \[ V = 3.14 \times 36 \times 12 = 3.14 \times 432 \] \[ V = 1357.68 \text{ cubic feet} \]
Conclusion
The volume of the cylinder is approximately 1357.68 cubic feet.
If you intended to find the volume of a sphere instead, let me know!