Find an Equation for the Sphere with the Given Center $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 20 z = - 36$

question 6

Multiple Choice

Find an equation for the sphere with the given center and radius.
-Center (0, 0, 10) , radius = 8

• A) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 20 z = - 36\)
• B) \(x ^ { 2 } + y ^ { 2 } + 8 z ^ { 2 } - 20 z = - 36\)
• C) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 20 z = - 36\)
• D) \(x ^ { 2 } + y ^ { 2 } + 8 z ^ { 2 } + 20 z = - 36\)

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Definitions:

Test Act

Legislation passed in 1673 in England, requiring all civil and military officials to profess the Protestant faith, effectively excluding Catholics from office.

Civil Offices

Positions within a government's administrative framework, excluding military or judicial roles, typically filled by civil servants.

Glorious Revolution

was a peaceful coup in England in 1688 that resulted in the overthrow of King James II and the establishment of William III and Mary II as co-rulers.

James II

King of England, Scotland (as James VII), and Ireland from 1685 until he was deposed in 1688, known for his attempts to re-establish Catholicism in Britain.