To find the volume of a cylinder, you use the formula:
Volume=π×r2×h\text{Volume}=\pi \times r^2\times hVolume=π×r2×h
where:
- rrr is the radius of the circular base of the cylinder,
- hhh is the height of the cylinder,
- π\pi π (pi) is approximately 3.14159.
Steps to calculate the volume:
- Measure or identify the radius of the base circle. If you have the diameter, divide it by 2 to get the radius.
- Square the radius (multiply the radius by itself).
- Multiply the squared radius by π\pi π.
- Multiply the result by the height of the cylinder.
Example: If a cylinder has a diameter of 5 inches and a height of 6 inches:
- Radius r=52=2.5r=\frac{5}{2}=2.5r=25=2.5 inches
- r2=2.5×2.5=6.25r^2=2.5\times 2.5=6.25r2=2.5×2.5=6.25
- Multiply by height: 6.25×6=37.56.25\times 6=37.56.25×6=37.5
- Multiply by π\pi π: 37.5×3.14159=117.8137.5\times 3.14159=117.8137.5×3.14159=117.81 cubic inches
So, the volume is approximately 117.81 cubic inches
. This formula applies to both right cylinders and can be adapted for hollow cylinders or other variations with additional parameters.
