Question

In the equation x²+y²+z²=16, what is the radius?
a) 2
b) 4
c) 16
d)√ 16

Answer 1

The equation x²+y²+z²=16 represents a sphere centered at the origin (0,0,0) with a radius of 4.

Step-by-step explanation:

The equation x²+y²+z²=16 represents a sphere centered at the origin (0,0,0) with a radius of 4. This is because the equation of a sphere in three-dimensional space is (x-a)² + (y-b)² + (z-c)² = r², where (a,b,c) is the center of the sphere and r is the radius. In this case, the center is (0,0,0) and the radius is √16 = 4.