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Mice21 [21]
3 years ago
13

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
Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

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

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