To find the volume of a sphere (which is the shape of the piñata), you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
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Find the radius: Since the diameter of the piñata is 18 inches, the radius \( r \) is:
\[ r = \frac{diameter}{2} = \frac{18}{2} = 9 \text{ inches} \]
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Calculate the volume: Plug the radius into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times (9)^3 \]
Now calculate \( 9^3 \):
\[ 9^3 = 729 \]
So, the volume formula becomes:
\[ V = \frac{4}{3} \times 3.14 \times 729 \]
Calculating \( \frac{4}{3} \times 3.14 \):
\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
Now multiply by 729:
\[ V \approx 4.1867 \times 729 \approx 3052.1 \]
Thus, the volume of the piñata is approximately:
\[ 3052.1 \text{ inches}^3 \]
So the correct response is:
3,052.1 inches cubed.