A positive displacement pump has a cylinder diameter of 15 cm and makes 96 strokes per minute. How much water will it discharge in liters in 10 minutes?

To find out how much water a positive displacement pump will discharge in liters over 10 minutes, we can follow these steps:

1. Calculate the volume displaced per stroke: The formula for the volume of a cylinder is given by ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height (or stroke length in this case). First, we need to determine the radius of the cylinder. The diameter is 15 cm, so the radius is 7.5 cm (15 cm / 2).

2. Convert the radius from centimeters to meters:

• Radius in meters = 7.5 cm / 100 = 0.075 m.

3. Assuming a stroke length of 1 meter for simplicity: In a typical calculation, the stroke length also needs to be known. For calculation purposes, let's say the stroke length equals 1 meter (this is to demonstrate the calculation, although the actual stroke length may differ in real applications). The volume per stroke would then be:

• ( V = \pi (0.075)^2 (1) = \pi (0.005625) \approx 0