An Upper Hemisphere Is Given By $z = \sqrt { 16 - x ^ { 2 } - y ^ { 2 } }$

question 26

Multiple Choice

An upper hemisphere is given by $z = \sqrt { 16 - x ^ { 2 } - y ^ { 2 } }$ with the density function $\rho ( x , y , z ) = z$ . Find the mass of the sphere.

• A) \(32 \pi\)
• B) \(8 \pi\)
• C)\(64 \pi\)
• D)\(1\)
• E)\(16 \pi\)
• F)\(4 \pi\)
• G)\(\frac { 32 \pi } { 3 }\)
• H)\(\frac { 64 \pi } { 3 }\)

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Definitions:

Gender Stratification

The unequal distribution of wealth, power, and privilege across genders within a society.

Functionalist

Adhering to the perspective in sociology that sees society as a complex system whose parts work together to maintain balance and social equilibrium.

Rape Culture

A set of beliefs, norms, and values that normalizes sexual violence against women.

Sexist Language

Language that discriminates against or stereotypes individuals based on their sex, often reinforcing gender biases.