Find the equation of the surface. the bottom hemisphere of a sphere centered at (8, - 7, 0) with radius 10.

Question

Mathematics

Ashtyn Bass

9 September, 08:14

Find the equation of the surface. the bottom hemisphere of a sphere centered at (8, - 7, 0) with radius 10.

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Answers (1)

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Ulises Drake · Answer 1

The equation of the sphere is

... (x - 8) ^2 + (y + 7) ^2 + z^2 = 10^2

Then the bottom hemisphere has the equation

... z = - √ (100 - (x - 8) ^2 - (y + 7) ^2)