Volume of a Cylinder

$$V = \pi r^2 h$$ where V is the volume, r is the radius, and h is the height.

The radius is the distance from the center of the base of the cylinder to its edge.

The diameter is twice the radius; it is the distance across the base of the cylinder through its center.

$$V = \pi (5^2)(10) = 250\pi \approx 785 m^3$$ .

Soda Can, Lotion Bottle, and Spray Paint Can are cylinders; Traffic Cone is not.

The diameter is equal to twice the radius: $$d = 2r$$ .

The volume also doubles, since volume is directly proportional to height.

$$V = \pi (3^2)(7) = 63\pi \approx 197.82 cm^3$$ .

Common units include cubic meters (m³), liters (L), and cubic centimeters (cm³).

Pi (π) is the ratio of the circumference of a circle to its diameter, essential for calculations involving circular bases.