A cone-shaped container on a farm is used for storing animal feed. The container has a radius of 4 feet and a height of 12 feet. What volume of feed, in cubic feet, can the container store?

Question

Round your answer to the nearest hundredth. Use 3.14 for n. (1 point)
cubic feet

Answer 1

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 and \( h \) is the height of the cone.

Given:

• Radius \( r = 4 \) feet
• Height \( h = 12 \) feet
• Using \( \pi \approx 3.14 \)

Now, plug in the values:

\[ V = \frac{1}{3} \times 3.14 \times (4^2) \times 12 \]

Calculating \( 4^2 \):

\[ 4^2 = 16 \]

Now substitute back into the volume formula:

\[ V = \frac{1}{3} \times 3.14 \times 16 \times 12 \]

Calculating \( 16 \times 12 \):

\[ 16 \times 12 = 192 \]

Now substitute again:

\[ V = \frac{1}{3} \times 3.14 \times 192 \]

Calculating \( 3.14 \times 192 \):

\[ 3.14 \times 192 = 603.68 \]

Now, divide by 3:

\[ V = \frac{603.68}{3} \approx 201.2266667 \]

Rounding to the nearest hundredth:

\[ V \approx 201.23 \]

Thus, the volume of feed that the container can store is approximately 201.23 cubic feet.