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 of the cone,
- \( h \) is the height of the cone.
From your description:
- The height \( h \) of the cone is the distance from the base to the top, which is labeled as 8 ft.
- The line labeled 6 ft likely refers to the radius \( r \) of the base of the cone.
Substituting \( r = 6 \) ft and \( h = 8 \) ft, and using \( \pi \approx 3.14 \), we can calculate the volume:
- Calculate the radius squared:
\[ r^2 = (6 , \text{ft})^2 = 36 , \text{ft}^2 \]
- Plug the values into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 36 , \text{ft}^2 \times 8 , \text{ft} \]
- Calculate \( \frac{1}{3} \times 3.14 \):
\[ \frac{1}{3} \times 3.14 \approx 1.047 \]
- Now multiply this value by \( 36 , \text{ft}^2 \) and \( 8 , \text{ft} \):
\[ V = 1.047 \times 36 \times 8 \]
- Calculate \( 36 \times 8 = 288 \):
\[ V = 1.047 \times 288 \]
- Finally, multiply to find the volume:
\[ V \approx 301.536 \]
Rounding to the nearest cubic foot:
\[ \text{Volume} \approx 302 , \text{cubic feet} \]
Thus, the volume of the cone is approximately 302 cubic feet.