Step 1: Interpret the Problem
First, we must understand what is happening in this situation. We need to find out how much paint is in the paint can. To do this, we find the total volume of the paint can, and then we divide it by 2.

Step 2: Substitute the Numbers Into the Equation
In this case, we got the formula for the volume from the problem.

Volume=π×r²×h

The problem has also given us the radius, the height, and the value to use for π which we can substitute as shown below.

3.14×(4in)²×11in

Step 3: Solve Using the Order of Operations
Now we can solve for the volume given the formula.

3.14×(4in)²×11in

Using the order of operations, we must square the 4 first. Remember (4in)²  really means

4in×4in=16in²

Now we can just multiply all three numbers together.

3.14×16in²×11in=552.64in3

Remember, our units are inches cubed (in³) since there were three dimensions involved.

Step 4: Divide the Volume by 2 to Find the Amount of Paint
To find how much paint is in the paint can, we divide its volume by 2.

552.64in³÷2=276.32in³

The volume of paint inside the can, when it is one-half full, is 276.32in³.