To find the volume of a round piñata (which is shaped like a sphere), you can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is volume and \( r \) is the radius of the sphere.
-
Calculate the radius: The diameter of the piñata is 18 inches, so the radius \( r \) is half of that: \[ r = \frac{18}{2} = 9 \text{ inches} \]
-
Plug the radius into the volume formula: Now substitute \( r = 9 \) and \( \pi = 3.14 \): \[ V = \frac{4}{3} \times 3.14 \times 9^3 \]
-
Calculate \( 9^3 \): \[ 9^3 = 729 \]
-
Now substitute that back into the equation: \[ V = \frac{4}{3} \times 3.14 \times 729 \]
-
Calculate \( \frac{4}{3} \times 3.14 \): \[ \frac{4}{3} \times 3.14 \approx 4.1867 \]
-
Multiply by 729: \[ V \approx 4.1867 \times 729 \approx 3052.01 \]
-
Round to the nearest tenth: \[ V \approx 3052.1 \]
So the volume of the piñata is approximately 3,052.1 cubic inches.
The correct answer is: 3,052.1 inches cubed.
1 answer