Find the Volume of the Indicated Region $z = 9 - x ^ { 2 }$

question 382

Multiple Choice

Find the volume of the indicated region.
-the region bounded by the coordinate planes, the parabolic cylinder $z = 9 - x ^ { 2 }$ , and the plane $y = 9$

• A) 162
• B) 486
• C) \(\frac { 729 } { 4 }\)
• D) \(\frac { 729 } { 2 }\)

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Definitions:

Healthy Life Expectancy

The average number of years that an individual is expected to live in a state of good health, subtracting years of ill health adjusted for severity.

Population Density

A measurement of the number of individuals living per unit area.

Coronary Heart Disease

A condition characterized by the narrowing of the coronary arteries, leading to a decreased blood supply to the heart muscle, often resulting in chest pain or heart attacks.

Life Expectancy

The average period that an individual is expected to live as determined by statistical analysis, often varying by geographical location, time period, and other factors.