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Answer :
Final answer:
Using the volume formula for a sphere, the amount of water that would fill a water balloon with a diameter of 6 inches is calculated to be approximately 113.097 cubic inches, making (A)113.04 cubic inches the closest option.
Explanation:
To find the amount of water that fills a water balloon with a diameter of 6 inches, we use the formula for the volume of a sphere: ½ × (4/3) × π × r3, where π is approximately 3.14159, and r is the radius of the sphere. Since the diameter of the water balloon is 6 inches, the radius r is half of that, which is 3 inches. Plugging the numbers into the formula gives us:
(4/3) × π × (3 inches)3 = (4/3) × 3.14159 × 27 = 113.097 cubic inches. Therefore, the option closest to the amount of water that fills the water balloon is 113.04 cubic inches.
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