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.
To find the volume rounded to the nearest cubic inch, you simply need to plug in the values for the radius and the height. For example, if the radius of the base of the cone is 3 inches and the height is 5 inches, you would calculate:
V = (1/3) × π × (3)² × (5)
Calculating this gives:
V ≈ (1/3) × 3.14159 × 9 × 5
Which results in:
V ≈ (1/3) × 3.14159 × 45 ≈ 47.12
When rounded to the nearest cubic inch, the volume of the cone is approximately 47 cubic inches.