Question

Find the equation of sphere with center (3, -2, 5) and radius 5.

Short answer

The required equation is${(x-3)}^2+{(y+2)}^2+{(z-5)}^2=25$

Step-by-step solution

Given information

A sphere with center (3, -2, 5) and radius 5.

Finding the equation

The equation of sphere can be defined as:

${(x-3)}^2+{(y+2)}^2+{(z-5)}^2=5^2$

Simplify:

${(x-3)}^2+{(y+2)}^2+{(z-5)}^2=25$