To find the amount of chocolate in a spherical chocolate truffle, we need to calculate the volume of the sphere using the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
Given that the radius \( r \) of the truffle is 12 mm and using \( \pi \approx 3.14 \), we can substitute the values into the formula:
\[ V = \frac{4}{3} \times 3.14 \times (12)^3 \]
First, calculate \( 12^3 \):
\[ 12^3 = 12 \times 12 \times 12 = 144 \times 12 = 1728 \]
Now substituting this back into our volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 1728 \]
Calculate \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
Now multiply this by 1728:
\[ V \approx 4.1867 \times 1728 \approx 7224.3836 \]
Rounding to the nearest hundredth:
\[ V \approx 7224.38 \text{ mm}^3 \]
Thus, the volume of the spherical chocolate truffle is approximately 7224.38 mm³.
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