What is the volume of the cone, rounded to the nearest cubic inch?

Question

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

Answer 1

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