the diameter of the inflated ball is 12 inches. what is the volume of air it contains?
What is the volume of air in the inflated ball with a diameter of 12 inches?
To calculate the volume of the inflated ball, we can use the formula for the volume of a sphere:
V = (4/3)πr³
Where:
V represents the volume
π is a mathematical constant approximately equal to 3.14159
r is the radius of the sphere
Given that the diameter of the inflated ball is 12 inches, we can find the radius by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 12 inches / 2 = 6 inches
Now, we can substitute the radius into the volume formula:
V = (4/3)π(6 inches)³
Calculating further:
V = (4/3)π(216 cubic inches)
Simplifying:
V ≈ 904.78 cubic inches
Therefore, the volume of air in the inflated ball with a diameter of 12 inches is approximately 904.78 cubic inches.