Answer:
Rounding to the nearest hundredth, we can say that approximately 10,752.9 cubic inches of air are needed to fill 10 beach balls for the birthday party.
Explanation:
We can use the formula for the volume of a sphere, which is V = (4/3)πr³, where V represents the volume and r represents the radius.
Given that the radius of each beach ball is 8 inches, we can substitute this value into the formula:
V = (4/3)π(8 inches)³
Now let's calculate the volume:
V = (4/3) * 3.14 * (8 inches)³
V ≈ 1075.29 cubic inches
(This gives us the volume of a single beach ball.)
To find the total volume of air needed to fill 10 beach balls, we multiply the volume of one beach ball by 10:
Total volume = 1075.29 cubic inches * 10
Total volume ≈ 10752.9 cubic inches
=10,752.9 cubic inches