The spherical surface S is tangent to the z=0 and x+y+3z−2=0 planes, with (−1,2,0) being one of the tangency points. Knowing that the center of S has the third positive coordinate, calculate the radius of S.

The spherical surface S is tangent to the z=0 and x+y+3z−2=0 planes, with (−1,2,0) being one of the tangency points. Knowing that the center of S has the third positive coordinate, calculate the radius of S.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...

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Question

The spherical surface S is tangent to the z=0 and x+y+3z−2=0 planes, with (−1,2,0) being one of the tangency points. Knowing that the center of S has the third positive coordinate, calculate the radius of S.

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