To find the volume of a cone, you can use the formula V = 1/3 * π * r^2 * h, where:
- V represents the volume of the cone.
- r stands for the radius of the base of the cone.
- h is the height of the cone.
Given the height (h) is 12 inches and the radius (r) is 5 inches, you can substitute these values into the formula:
V = 1/3 * π * (5)^2 * 12
Here's how you can solve it step by step:
1. Calculate the square of the radius: (5)^2 = 25
2. Multiply the square of the radius by the height: 25 * 12 = 300
3. Multiply the result by π (pi): 300 * π ≈ 942.48 cubic inches
Therefore, the volume of the cone with a height of 12 inches and a radius of 5 inches is approximately 942.48 cubic inches.
