Question

In Problems 69 and 70, find the equation of a sphere with radius r and center $P_0$.

$r=2;P_0=(1,2,2)$

Short answer

The equation of sphere is

${(x-1)}^2+{(y-2)}^2+{(z-2)}^2=4$

Step-by-step solution

Step 1. Given

Given radius as well as center of the sphere as:

$r=2;P_0=(1,2,2)$

Step 2. Calculation

By applying the standard equation of sphere we get:

$r^2={(x-x_0)}^2+{(y-y_0)}^2+{(z-z_0)}^2$

${(x-1)}^2+{(y-2)}^2+{(z-2)}^2=4$