A Spherical Building Has a Diameter Of $201$ FeetThe Center of the Building Is Placed at the Origin

question 185

Multiple Choice

A spherical building has a diameter of $201$ feet.The center of the building is placed at the origin of a three-dimensional coordinate system.What is the equation of the sphere?

• A) \(x ^ { 2 } + 2 y ^ { 2 } + z ^ { 2 } = \frac { 40,401 } { 4 }\)
• B) \(2 x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = \frac { 40,401 } { 4 }\)
• C) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = \frac { 40,401 } { 4 }\)
• D) \(4 x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = \frac { 40,401 } { 4 }\)
• E) \(x ^ { 2 } + 2 y ^ { 2 } + 4 z ^ { 2 } = \frac { 40,401 } { 4 }\)

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Definitions:

Income Bond

A type of debt security that only pays interest if the issuer has sufficient earnings.

Semi-annual

Occurring two times a year, generally spaced six months apart.

Buying Power

The amount of goods or services that one's money can purchase, often influenced by inflation.

Rate of Return

Gains or losses incurred on an investment over a specifically defined period, formulated as a percentage of the investment’s kickoff cost.