Calculating Volume

Flashcards covering the key concepts, units, and formulas for calculating the volume of cubes, cylinders, cones, and spheres as taught by the American Water College.

Volume

A measurement used for describing $3$ dimensions.

Common Volume Units

The units typically used for measurement, including $ft^3$, gallons, or acre-ft.

Rectangular Volume Formula ($V_{rectangle}$)

$$L \times W \times H$$

Cylindrical Volume Formula ($V_{cylinder}$)

$$\pi \times r^2 \times H$$

Cone Volume Formula ($V_{cone}$)

$$\frac{1}{3} \times \pi \times r^2 \times H$$

Sphere Volume Formula ($V_{sphere}$)

$$\frac{1}{6} \times \pi \times D^3$$

$$1\text{ mile}$$

$$5,280\text{ feet}$$

Radius ($r$) relating to Sludge Collector Arm

In a clarifier, the length of the sludge collector arm represents the radius ($r$) of the cylindrical base.