What is the volume of the cone to the nearest whole unit 11in 6 in
1. 320 in 3
2. 1,244 in 3
3. 415 in 3
4. 622 in 3
4. 622 in 3
explain why
The formula for the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height.
In this case, the radius is given as 6 inches and the height is given as 11 inches. Therefore, we can calculate the volume as:
V = 1/3 * π * 6^2 * 11
V ≈ 621.99 ≈ 622 (rounded to the nearest whole unit)
Therefore, the volume of the cone to the nearest whole unit is approximately 622 in^3, which corresponds to option 4.
To find the volume of a cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Given that the radius (r) is 6 inches and the height (h) is 11 inches, we can substitute these values into the formula and calculate the volume.
Volume = (1/3) * 3.14 * 6^2 * 11
Volume ≈ 1/3 * 3.14 * 36 * 11
Volume ≈ 3.14 * 36 * 11/3
Volume ≈ 113.04 * 11/3
Volume ≈ 1243.44/3
Volume ≈ 414.48 in^3
Rounding this volume to the nearest whole unit, the answer is 415 in^3.
Therefore, the correct option is 3. 415 in^3.