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.

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

603.19
16.76
201.06

Answer 1

To find the volume of the cone-shaped container, we use the formula for the volume of a cone, which is:

\[
V = \frac{1}{3} \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.

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

Now, substituting the values into the formula:

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

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute back into the equation:

\[
V = \frac{1}{3} \pi (16) (12)
\]

Now calculate \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

So we have:

\[
V = \frac{1}{3} \pi (192)
\]

Calculating \( \frac{192}{3} \):

\[
\frac{192}{3} = 64
\]

Thus:

\[
V = 64 \pi
\]

Now, using \( \pi \approx 3.14 \):

\[
V \approx 64 \times 3.14 \approx 200.96
\]

So rounding off, we find:

\[
V \approx 201.06 \text{ cubic feet}
\]

Therefore, the volume of feed this container can store is **201.06 cubic feet**.