How many cubic inches does a single cylinder displace if it has a bore of 3 inches and a stroke of 5 inches?

How many cubic inches does a single cylinder displace if it has a bore of 3 inches and a stroke of 5 inches?

• A. 35.3 cubic inches
• B. 30 cubic inches
• C. 40 cubic inches
• D. 45 cubic inches

Answer: (A)

To determine the displacement of a single cylinder, we use the formula: \[ \text{Displacement} = \pi \times \left(\frac{\text{Bore}}{2}\right)^2 \times \text{Stroke} \] In this instance, the bore is 3 inches, and the stroke is 5 inches. The first step is to calculate the radius of the bore, which is half of the bore measurement: \[ \text{Radius} = \frac{3 \text{ inches}}{2} = 1.5 \text{ inches} \] Next, we square the radius: \[ \text{Radius}^2 = (1.5 \text{ inches})^2 = 2.25 \text{ square inches} \] Now, we can substitute the radius squared and the stroke into the displacement formula: \[ \text{Displacement} = \pi \times 2.25 \text{ square inches} \times 5 \text{ inches} \] Calculating this gives: \[ \text{Displacement} \approx 3.14 \times 2.25 \times 5 \] \[ \text

To determine the displacement of a single cylinder, we use the formula:

[

\text{Displacement} = \pi \times \left(\frac{\text{Bore}}{2}\right)^2 \times \text{Stroke}

]

In this instance, the bore is 3 inches, and the stroke is 5 inches. The first step is to calculate the radius of the bore, which is half of the bore measurement:

[

\text{Radius} = \frac{3 \text{ inches}}{2} = 1.5 \text{ inches}

]

Next, we square the radius:

[

\text{Radius}^2 = (1.5 \text{ inches})^2 = 2.25 \text{ square inches}

]

Now, we can substitute the radius squared and the stroke into the displacement formula:

[

\text{Displacement} = \pi \times 2.25 \text{ square inches} \times 5 \text{ inches}

]

Calculating this gives:

[

\text{Displacement} \approx 3.14 \times 2.25 \times 5

]

[

\text