To find the amount of creamy filling that can fit inside the sphere-shaped piece of chocolate, we need to calculate the volume of the sphere.
The formula for the volume \( V \) of a sphere is:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
Given that the diameter of the chocolate piece is 1 inch, the radius \( r \) is:
\[ r = \frac{1}{2} = 0.5 \text{ inches} \]
Now we can substitute \( r \) into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (0.5)^3 \]
Calculating \( (0.5)^3 \):
\[ (0.5)^3 = 0.125 \]
Now substitute this back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 0.125 \]
Calculating \( \frac{4 \times 3.14 \times 0.125}{3} \):
First, calculate \( 4 \times 3.14 \):
\[ 4 \times 3.14 = 12.56 \]
Next, multiply by \( 0.125 \):
\[ 12.56 \times 0.125 = 1.57 \]
Finally, divide by \( 3 \):
\[ V = \frac{1.57}{3} \approx 0.5233 \]
Rounding to the nearest tenth:
\[ V \approx 0.5 \]
Thus, the amount of creamy filling that can fit inside the chocolate piece is approximately:
\[ \boxed{0.5} \text{ inches}^3 \]