What is the volume of the cone, rounded to the nearest cubic inch?
A cone with height 6 in. and diameter 12 in.
(1 point)
Responses
72 in.³
72 in.³
226 in.³
226 in.³
905 in.³
905 in.³
2,714 in.³
To find the volume of a cone, we can use the formula:
V = (1/3) * π * r^2 * h
where V is the volume, π is pi, r is the radius, and h is the height.
Given that the diameter of the cone is 12 in, we can find the radius by dividing the diameter by 2:
r = 12 in / 2 = 6 in
Now we can substitute the values into the formula:
V = (1/3) * 3.14 * (6 in)^2 * 6 in
V ≈ 3.14 * 36 in^2 * 6 in
V ≈ 678.24 in^3
Rounding this to the nearest cubic inch gives us 678 in^3.
Therefore, the correct answer is:
678 in.³