The volume of a regular cylinder is found by multiplying the area of the base (a circle) by the height of the cylinder. The formula for this is V = πr²h, where V represents the volume, r is the radius of the circular base, and h is the height of the cylinder.
Formula Breakdown:
- π (Pi): A mathematical constant, approximately 3.14159.
- r² (radius squared): The radius of the circular base multiplied by itself. This calculates the area of the base circle.
- h (height): The vertical distance between the two circular bases of the cylinder.
Steps to Calculate Cylinder Volume:
- Measure the radius (r): Find the distance from the center of the circular base to its edge.
- Measure the height (h): Measure the vertical distance between the two circular bases.
- Square the radius (r²): Multiply the radius by itself.
- Multiply by π (pi): Multiply the squared radius by the value of pi (approximately 3.14159).
- Multiply by the height (h): Multiply the result from the previous step by the height of the cylinder.
Example Calculation (Referencing YouTube Video):
According to the provided video, let's say a cylinder has:
- Radius (r) = 5 inches
- Height (h) = 10 inches
Using the formula:
- r² = 5 inches * 5 inches = 25 square inches.
- πr²= 25 square inches * π = 25π square inches.
- V = πr²h = 25π square inches * 10 inches = 250π cubic inches.
Therefore, the volume of this cylinder is 250π cubic inches.
Key Points
- Ensure all measurements are in the same unit (e.g., all in inches or all in centimeters).
- The volume will always be in cubic units (e.g., cubic inches, cubic centimeters, cubic meters).
