To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \(V\) is the volume, \(r\) is the radius of the base, and \(h\) is the height of the cone.
In the information you provided, it appears that the dimensions of the cone are:
- Height (\(h\)) = 6 inches
- Diameter = 2 inches, so the radius (\(r\)) = \frac{2}{2} = 1 inch
Now, we can substitute these values into the formula. Using \( \pi \approx 3.14 \):
\[ V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6 \] \[ V = \frac{1}{3} \times 3.14 \times 1 \times 6 \] \[ V = \frac{1}{3} \times 3.14 \times 6 \] \[ V = \frac{18.84}{3} \] \[ V \approx 6.28 \]
When rounded to the nearest cubic inch, the volume is 6 cubic inches. However, since this result does not match any of the options given (24, 13, 75, or 25 cubic inches), it is possible that the measurements used for the cone need to be checked or reevaluated.
If we had different radius or height, we would need those values. Please verify the dimensions or any additional information from the image.