To find the volume of a spherical chocolate truffle, we can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume, and \( r \) is the radius of the sphere.
Given that the radius \( r \) is 12 mm, we can plug in the values:
\[ V = \frac{4}{3} \times 3.14 \times (12)^3 \]
First, we calculate \( (12)^3 \):
\[ 12^3 = 12 \times 12 \times 12 = 144 \times 12 = 1728 \]
Now substitute this value back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 1728 \]
Calculating \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
Now multiply this by 1728:
\[ V \approx 4.1867 \times 1728 \approx 7224.576576 \]
Rounding this to the nearest hundredth gives:
\[ V \approx 7224.58 \text{ mm}^3 \]
Thus, the volume of the spherical chocolate truffle is approximately 7224.58 mm³.
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