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