To solve this problem, we need to set up an equation and solve for the cost of the ball.

Given information:
- The total cost of the bat and the ball is $1.10.
- The cost of the bat is $1.00 more than the cost of the ball.

Let's represent the cost of the ball as "x".

Since the cost of the bat is $1.00 more than the cost of the ball, the cost of the bat can be represented as "x + 1".

The total cost of the bat and the ball is $1.10, so we can set up the equation:

x + (x + 1) = 1.10

Simplifying the equation:
2x + 1 = 1.10

Subtracting 1 from both sides:
2x = 0.10

Dividing both sides by 2:
x = 0.05

Therefore, the cost of the ball is $0.05.
