# Equation of a sphere

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## Equation of a Sphere

The equation of a sphere with radius $R$ and center $(i, j, k)$ is

$(x-i)^2+(y-j)^2+(z-k)^2=R^2.$

## Example Question 1

This is the answer to the question, with a detailed solution. If math is needed, it can be done inline: $x^2 = 144$, or it can be in a centered display:

$\frac{x^2}{x+3} = 4y$

And our final answer is 10. $_\square$

**Cite as:**Equation of a sphere.

*Brilliant.org*. Retrieved from https://brilliant.org/wiki/equation-of-a-sphere/