Volume Formulas

Any Cylinder or Prism with Parallel Bases 

The volume of a cylinder or prism whose bases are parallel can be calculated by multiplying the area of the solid's base, b, by its height, h.

$$\newcommand{\ctext}[1]{\style{font-family:Arial}{\text{#1}}} \ctext{Volume}=b\times h \ctext{ where $b$ is the area of the solid's base}$$

Right Circular Cylinder

The volume of a right circular cylinder is found by multiplying the area of the solid's base ($ \pi r^2 $) by its height, h.

$$\ctext{Volume}=\pi r^2 h$$

Right Circular Cone

The volume of a right circular cone is found by combining the solid's base area ($ \pi r^2 $) and height, h.

$$\ctext{Volume}=\frac13 \pi r^2h$$

Any Cone or Pyramid

The volume of any cone or pyramid is found by combining the solid's base area, b, and height, h.

$$\ctext{Volume}=\frac13 b\times h\ctext{, where $b$ is the area of the solid's base}$$

Sphere

The volume of a sphere is found by combining the constant $\pi$ with the sphere's radius, r.

$$\ctext{Volume}=\frac43 \pi r^2$$