Short Answer 
The volume of a right circular cylinder is calculated using the formula V = œA * r¬≤ * h. For a cylinder with a diameter of 46.25 cm (radius 23.125 cm) and height 18.5 cm, the volume is approximately 31064.54 cm¬≥.
Step 1: Understand the Volume Formula
The formula for the volume of a right circular cylinder is given by V = œA * r¬≤ * h, where r is the radius and h is the height. This relationship helps us calculate how much space is contained within the cylinder. Knowing that the radius is half of the diameter is crucial for our calculations.
Step 2: Establish the Radius
To find the radius from the diameter, you use the formula r = d / 2. In this case, the diameter provided is 46.25 cm. Therefore, by performing the calculation:
- r = 46.25 / 2
- r = 23.125 cm
This radius will be used in the volume formula to compute the final volume.
Step 3: Calculate the Volume
Now substitute the calculated radius and the height into the volume formula. With the given height of 18.5 cm, the formula becomes:
- V = 3.14 * (23.125)² * 18.5
- Calculating yields V = 31064.5352 cm³
Thus, the total volume of the cylinder is approximately 31064.54 cm³.