To find the distance traveled by the ball, we need to consider the distance covered in one complete revolution (circumference) and then multiply it by the number of revolutions.
The circumference of a circle is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, the radius of the ball is given as 5 cm. Therefore, the circumference of the ball is:
C = 2π(5 cm) = 10π cm
Since the ball rolls along the ground 100 times, the total distance covered by the ball is:
Distance = Number of revolutions × Circumference = 100 × (10π cm) = 1000π cm
So, the ball has traveled a distance of 1000π cm, or approximately 3141.59 cm.