It looks like you're looking for the volume of a cylinder, but your equation resembles the formula for the volume of a sphere.
To clarify:
-
Volume of a sphere (correct formula): \[ V = \frac{4}{3} \pi r^3 \]
-
Volume of a cylinder (correct formula): \[ V = \pi r^2 h \]
Given your dimensions (radius = 4 feet, height = 8 feet), let's calculate both:
Volume of the Sphere
Using the sphere formula:
- \( r = 4 \) feet
- \( V = \frac{4}{3} \pi (4)^3 \)
Calculating: \[ V = \frac{4}{3} \times 3.14 \times 64 = \frac{256.64}{3} \approx 85.55 \text{ cubic feet} \]
Volume of the Cylinder
Using the cylinder formula:
- \( r = 4 \) feet
- \( h = 8 \) feet
- \( V = \pi (4)^2 (8) \)
Calculating: \[ V = 3.14 \times 16 \times 8 = 3.14 \times 128 \approx 402.72 \text{ cubic feet} \]
In summary:
- Volume of the sphere: approximately 85.55 cubic feet
- Volume of the cylinder: approximately 402.72 cubic feet