To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Where:
- \( V \) is the volume,
- \( \pi \) is approximately 3.14,
- \( r \) is the radius of the sphere.
Given that the radius of the chocolate truffle is \( r = 12 \) mm, we can substitute \( r \) into the formula:
\[ V = \frac{4}{3} \times 3.14 \times (12)^3 \]
First, calculate \( 12^3 \):
\[ 12^3 = 12 \times 12 \times 12 = 1728 \]
Now substitute \( 1728 \) back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 1728 \]
Now perform the multiplication:
- Calculate \( \frac{4}{3} \times 1728 \):
\[ \frac{4 \times 1728}{3} = \frac{6912}{3} = 2304 \]
- Now multiply by \( 3.14 \):
\[ V = 2304 \times 3.14 = 7239.76 \]
Thus, the volume of the spherical chocolate truffle is approximately:
\[ \boxed{7239.76} , \text{mm}^3 \]