Answer: Approximately 4774.76 pounds per square inch (lbs/in^2.
Step-by-step explanation:
To calculate the pressure inside the cylinder, we can use the formula:
Pressure = Force / Area
1. First, we need to find the area of the cylinder. The formula for the area of a circle is:
Area = π * radius^2
2. Since we are given the diameter, we can calculate the radius by dividing the diameter by 2:
Radius = Diameter / 2
3. Plugging in the values, we have:
Radius = 2 in / 2 = 1 in
4. Now, we can calculate the area using the radius:
Area = π * (1 in)^2 = π in^2
5. Next, we can substitute the force and the area into the pressure formula:
Pressure = 15,000 lbs / (π in^2)
6. Finally, we can calculate the pressure:
Pressure ≈ 4774.76 lbs/in^2
Therefore, the pressure inside the cylinder is approximately 4774.76 pounds per square inch (lbs/in^2).