The volume of a cone can be calculated using the formula:
V = (1/3) * π * r² * h
Where:
- V is the volume of the cone.
- r is the radius of the base of the cone.
- h is the height of the cone.
- π (pi) is approximately 3.14159.
In this case, the radius (r) is 4 inches and the height (h) is 12 inches. Plugging in these values:
V = (1/3) * π * (4 inches)² * (12 inches)
Calculating step-by-step:
- (4 inches)² = 16 square inches.
- Multiply by the height: 16 square inches * 12 inches = 192 cubic inches.
- Now, multiply by π: V = (1/3) * π * 192 cubic inches.
- V ≈ (1/3) * 3.14159 * 192 ≈ 201.06 cubic inches.
Thus, the volume of the cone is approximately 201.06 cubic inches.