Cylindrical Identification

Algebra Level 2

If the relation is expressed in cylindrical coordinates of the form ( r , θ , z ) (r, \theta, z) , what shape is described r 2 + z 2 = 100 r^2 + z^2 = 100 ?

Paraboloid Plane Cylinder Sphere

Arron Kau by Arron Kau

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1 solution

Arron Kau Staff
Jul 16, 2018

If we convert to cylindrical coordinates, the equation becomes x 2 + y 2 + z 2 = 100 x^2 + y^2 + z^2 = 100 and is clearly describing a sphere of radius 10.

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