A cone-shaped container on a farm is used for storing animal feed. The container has a radius of 6 feet and a height of 14 feet. What volume of feed, in cubic feet, can the container store? Round to the nearest hundredth

The volume \( V \) of a cone can be calculated using 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, and
• \( \pi \) is approximately \( 3.14159 \).

Given:

• \( r = 6 \) feet,
• \( h = 14 \) feet.

First, we calculate \( r^2 \):

\[ r^2 = 6^2 = 36 \]

Then, we substitute the values into the volume formula:

\[ V = \frac{1}{3} \pi (36) (14) \]

Now, calculate \( 36 \times 14 \):

\[ 36 \times 14 = 504 \]

Substituting this back into the formula gives:

\[ V = \frac{1}{3} \pi (504) \]

Calculating \( \frac{504}{3} \):

\[ \frac{504}{3} = 168 \]

Now substitute \( 168 \) into the volume formula:

\[ V = 168 \pi \]

Using \( \pi \approx 3.14159 \):

\[ V \approx 168 \times 3.14159 \approx 526.78872 \]

Rounding to the nearest hundredth, the volume of feed the container can store is:

\[ \boxed{526.79} \text{ cubic feet} \]