We are asked to determine the volumetric flow rate through a pipe of diameter 8.000 cm. To do that we will use the following formula:

Where:

The cross-area of the pipe is the area of a circle and is given by:

Where:

Before we determine the area we will convert the diameter from cm to meters using the following conversion factor:

Multiplying by the conversion factor we get:

Now, we plug in the value in the formula for the area:

Solving the operations:

Now, we plug in the values of area and velocity in the formula or the volumetric flow rate:

Solving the operations:

Therefore, the flow rate is 0.246 cubic meters per minute.