To find the volume \( V \) of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cone,
- \( \pi \) is a constant (which is given as 3.14).
Given:
- \( r = 12 \) inches
- \( h = 6 \) inches
- \( \pi = 3.14 \)
Now, plug in the values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (12)^2 \times 6 \]
Calculate \( (12)^2 \):
\[ (12)^2 = 144 \]
Now substitute back into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 144 \times 6 \]
Calculate \( 144 \times 6 \):
\[ 144 \times 6 = 864 \]
Now substitute that back:
\[ V = \frac{1}{3} \times 3.14 \times 864 \]
Now multiply \( 3.14 \times 864 \):
\[ 3.14 \times 864 \approx 2710.56 \]
Now take one-third of that:
\[ V \approx \frac{2710.56}{3} \approx 903.52 \]
Hence, the volume of the cone is approximately \( 904.32 \) cubic inches when rounded.
So the correct response is:
904.32 in.³