Final answer:
The equation of the sphere with center (2, -10, 4) and radius 5 is (x - 2)^2 + (y + 10)^2 + (z - 4)^2 = 25.
Step-by-step explanation:
To find the equation of the sphere with center (2, -10, 4) and radius 5, we can use the equation of a sphere:
(x - h)^2 + (y - k)^2 + (z - j)^2 = r^2
where (h, k, j) is the center of the sphere and r is the radius. Plugging in the values, we get:
(x - 2)^2 + (y + 10)^2 + (z - 4)^2 = 5^2