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.