Question

WRITE INEQUALITIE TO DESCRIBE A REGION CONSISTING OF ALL POINTS BETWEEN ( BUT NOT ON ) THE SPHERES OF RADIUS R AND r CENTERED AT THE ORIGIN. WHERE r

Answer 1

Answer:

$r^2$

Step-by-step explanation:

We are given the following in the question:

$r < R$

where r and r are the radius of the circle.

General equation of circle:

$(x-h)^2 + (y-k)^2 + (z-j)^2 = r^2$

where(h,k,j) is the center of the circle and r is the radius of circle.

If the circle is centered at origin, then,

$x^2 + y^2+z^2 = r^2$

Equation of circle with radius R centered on origin

$x^2 + y^2+z^2 = R^2$

Inequality to describe the region that consist of all points lying between the sphere of radius r and R but not on the sphere is given by:

$r^2$