# What is the intersection of two balls in $\mathbb{R}^3$?

I know that the What is the intersection of two balls in $\mathbb{R}^2$ is either 0,1 or 2 points (since a ball in $\mathbb{R}^2$ is just a circle I can drew this).

What is the intersection of two balls in $\mathbb{R}^3$ ? is it at max 3 points ?

I would also like to know about the more general case of $n>1$