Question

a cone shape container on a farm is used for strong animal feed the container has a radius of 4 ft and a height of 12 ft what volume of Feed in cubic feet use The Container Store around your answer to the nearest hundred use 3.14 for pi

Answer 1

To calculate the volume (\(V\)) of a cone, you can use the formula:

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

Where:
- \(r\) is the radius,
- \(h\) is the height,
- \(\pi\) is approximately 3.14.

Given:
- The radius \(r = 4\) ft,
- The height \(h = 12\) ft,
- \(\pi \approx 3.14\).

Now plug the values into the formula:

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

Calculating step by step:

1. Calculate \(4^2\):
\[
4^2 = 16
\]

2. Substitute back into the volume formula:
\[
V = \frac{1}{3} \times 3.14 \times 16 \times 12
\]

3. Calculate \(16 \times 12\):
\[
16 \times 12 = 192
\]

4. Substitute this into the equation:
\[
V = \frac{1}{3} \times 3.14 \times 192
\]

5. Calculate \(3.14 \times 192\):
\[
3.14 \times 192 = 602.88
\]

6. Finally, calculate \(\frac{1}{3} \times 602.88\):
\[
V = \frac{602.88}{3} \approx 200.96
\]

Rounding to the nearest hundred, the volume of feed the container can hold is approximately:

\[
\boxed{200}
\]

So the final answer, rounded to the nearest hundred, is **200 cubic feet**.