Find the Surface Area of the Surface S $S$ Is the Cap Cut from the Sphere

question 145

Multiple Choice

Find the surface area of the surface S.
- $S$ is the cap cut from the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$ by the cone $z = 6 \sqrt { x ^ { 2 } + y ^ { 2 } }$ .

• A) \(16 \left( 1 - \frac { 6 \sqrt { 37 } } { 37 } \right)\)
• B) \(16 \left( 1 - \frac { 6 \sqrt { 37 } } { 37 } \right) \pi\)
• C) \(32 \left( 1 - \frac { 6 \sqrt { 37 } } { 37 } \right) \pi\)
• D) \(16 \left( \frac { 6 \sqrt { 37 } } { 37 } - 1 \right) \pi\)

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Definitions:

Queer Theorists

Scholars and thinkers who challenge traditional categories of gender and sexuality, emphasizing the fluidity and socially constructed nature of these concepts.

Gender

The socially constructed roles, behaviors, activities, and attributes that a given society considers appropriate for men and women.

Continued Performance

The ongoing act of demonstrating or executing skills, abilities, or competencies in a specific area over time.

Judith Butler

An American philosopher and gender theorist who has significantly contributed to the fields of feminism, queer theory, political philosophy, and ethics.