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 of the cone
- \( h \) is the height of the cone
- \( \pi \) is approximately 3.14159
Given:
- Radius \( r = 13 \) inches
- Height \( h = 27 \) inches
Plugging these values into the formula:
\[ V = \frac{1}{3} \pi (13)^2 (27) \]
Calculating \( (13)^2 \):
\[ (13)^2 = 169 \]
Now substitute back into the volume formula:
\[ V = \frac{1}{3} \pi (169) (27) \]
Calculating \( 169 \times 27 \):
\[ 169 \times 27 = 4563 \]
Now substitute this back into the volume formula:
\[ V = \frac{1}{3} \pi (4563) \]
Then, multiply by \( \frac{1}{3} \):
\[ \frac{4563}{3} = 1521 \]
Now, multiplying by \( \pi \):
\[ V \approx 1521 \pi \]
Using \( \pi \approx 3.14159 \):
\[ V \approx 1521 \times 3.14159 \approx 4778.36 \]
Thus, the volume of the cone is approximately \( 4778.36 \) cubic inches.
The correct answer is:
1. 4778.36 cubic inches