A child rolls a ball on a level floor 3.4 m to another child. If the ball makes 9.0 revolutions, what is its diameter?
To find the diameter of the ball, we need to use the relationship between the distance traveled and the number of revolutions made by the ball. The formula to calculate the distance traveled by a rolling ball is:
Distance = Circumference × Number of Revolutions
In this case, we know the distance traveled by the ball is 3.4 meters, and the number of revolutions it made is 9.0.
To calculate the circumference of the ball, we can rearrange the formula:
Circumference = Distance / Number of Revolutions
Substituting the given values:
Circumference = 3.4 m / 9.0 = 0.3778 m
Now, we can calculate the diameter using the circumference:
Diameter = Circumference / π
Since we know the circumference of the ball, we can use π (pi), which is approximately 3.14159, as a constant:
Diameter = 0.3778 m / 3.14159 ≈ 0.1202 m
Therefore, the diameter of the ball is approximately 0.1202 meters.