To calculate 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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14 or you can use the symbol on your calculator.
Given:
- Radius \( r = 4 \) feet
- Height \( h = 12 \) feet
Now plug in the values:
\[ V = \frac{1}{3} \pi (4)^2 (12) \]
Calculating it step by step:
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Calculate \( r^2 \): \( 4^2 = 16 \)
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Substitute \( r^2 \) into the formula: \[ V = \frac{1}{3} \pi (16)(12) \]
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Multiply \( 16 \) and \( 12 \): \( 16 \times 12 = 192 \)
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Now substitute back into the volume formula: \[ V = \frac{1}{3} \pi (192) \]
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Now calculate \( \frac{192}{3} \): \( \frac{192}{3} = 64 \)
So, the volume is: \[ V = 64 \pi \]
In cubic feet, the container can store approximately \( 64\pi \) cubic feet of animal feed.
If you use a calculator to find the numerical value using \( \pi \approx 3.14 \): \[ 64 \pi \approx 64 \times 3.14 \approx 200.96 \]
Thus, the container can store approximately 201 cubic feet of feed if you round to the nearest whole number.