Q 30 - Calculus

Question

Find the equation of a sphere with center (4, -2, -3) and radius 3.

Step-by-Step Solution

Answer

The required equation is ${(x-4)}^2+{(y+2)}^2+{(z+3)}^2=9$

Given information

A sphere with center (4, -2, -3) and radius 3.

Finding the equation

The equation of sphere may be written as:

${(x-4)}^2+{(y+2)}^2+{(z+3)}^2=3^2$

Simplify:

${(x-4)}^2+{(y+2)}^2+{(z+3)}^2=9$