Question

radius=4 feet
height=8 feet
V=4/3 3.14r3

Answer 1

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:

1. **Volume of a sphere** (correct formula):
\[
V = \frac{4}{3} \pi r^3
\]

2. **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**