find the volume of a cone that is 18in. high and has a 6 in radius
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h
where:
- π is a mathematical constant (approximately equal to 3.14159)
- r is the radius of the cone's base
- h is the height of the cone
In this case, the height (h) of the cone is given as 18 inches, and the radius (r) is given as 6 inches.
Plugging these values into the formula, we have:
Volume = (1/3) * π * (6^2) * 18
To calculate the volume, we can follow these steps:
1. Calculate the square of the radius: 6^2 = 36.
2. Multiply the square of the radius by the height: 36 * 18 = 648.
3. Multiply the result by the constant π: 648 * π (approximately equal to 3.14159).
4. Finally, multiply the result by 1/3: (1/3) * 648 * π.
Performing the calculations, we get:
Volume ≈ (1/3) * 648 * 3.14159
≈ 216 * 3.14159
≈ 678.584 cubic inches
Therefore, the volume of the given cone is approximately 678.584 cubic inches.