To find the volume of a sphere (in this case, the piñata shaped as a sphere), you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Where \( V \) is the volume, \( \pi \) is approximately 3.14, and \( r \) is the radius of the sphere.
First, calculate the radius. The diameter of the piñata is 18 inches, so the radius \( r \) is:
\[ r = \frac{diameter}{2} = \frac{18 \text{ inches}}{2} = 9 \text{ inches} \]
Now substituting the values into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (9)^3 \]
Calculating \( 9^3 \):
\[ 9^3 = 729 \]
Now, substitute \( 729 \) back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 729 \]
Calculating \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
Now, multiply by \( 729 \):
\[ V \approx 4.1867 \times 729 \approx 3053.1 \]
Rounding this to the nearest tenth gives:
\[ V \approx 3052.1 \text{ inches}^3 \]
Thus, the correct response is:
3,052.1 inches³