# 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.

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