# Torus

Written by Jerry Ratzlaff on . Posted in Solid Geometry

• Torus (a three-dimensional figure) has a shape like a donut.

### Hole Radius of a torus formula

$$\large{ R_h = R - r }$$

Where:

$$\large{ R_h }$$ = radius of the hole

$$\large{ r }$$ = radius of sphere

$$\large{ R }$$ = radius of center of sphere

### Surface Area of a torus formula

$$\large{ S = 4 \; \pi^2 \; R\; r }$$

Where:

$$\large{ S }$$ = surface area

$$\large{ \pi }$$ = Pi

$$\large{ r }$$ = radius of sphere

$$\large{ R }$$ = radius of center of sphere

### Volume of a torus formula

$$\large{ V = 2 \; \pi^2 \; R\; r^2 }$$

Where:

$$\large{ V }$$ = volume

$$\large{ \pi }$$ = Pi

$$\large{ r }$$ = radius of sphere

$$\large{ R }$$ = radius of center of sphere