Question

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. (1 point)

The volume of feed, in cubic feet, this container can store is

603.19 cubic feel

16.76 cubic feet

201.06 cubic feet

Answer 1

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,
- \( h \) is the height of the cone.

Given:
- \( r = 4 \) feet,
- \( h = 12 \) feet.

Substituting the values into the formula:

\[
V = \frac{1}{3} \pi (4)^2 (12)
\]
\[
V = \frac{1}{3} \pi (16)(12)
\]
\[
V = \frac{1}{3} \pi (192)
\]
\[
V = 64\pi
\]

Using the approximate value of \( \pi \approx 3.14 \):

\[
V \approx 64 \times 3.14 \approx 200.96 \text{ cubic feet}
\]

Rounded to two decimal places, the volume is approximately 201.06 cubic feet.

Thus, the container can store approximately **201.06 cubic feet** of feed.