To find the volume of a cone, we can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( r \) is the radius of the base of the cone and \( h \) is the height of the cone.
Given:
- Height \( h = 9 \) inches
- Diameter \( = 4 \) inches, which means the radius \( r = \frac{4}{2} = 2 \) inches.
Now, we can substitute the values into the volume formula:
\[ V = \frac{1}{3} \pi (2^2)(9) \] \[ V = \frac{1}{3} \pi (4)(9) \] \[ V = \frac{1}{3} \pi (36) \] \[ V = 12\pi \]
Therefore, the volume of the cone is \( 12\pi \) in³.
The correct response is:
12π in.3 (12 pi in. cubed)