Solve the Problem $V _ { t }$ Be the Volume of the Tetrahedron Bounded by the Coordinate

question 267

Multiple Choice

Solve the problem.
-Let $V _ { t }$ be the volume of the tetrahedron bounded by the coordinate planes and the plane $\frac { x } { 3 } + \frac { y } { 4 } + \frac { z } { 3 } = 1$ , and let $V _ { e }$ be the volume of the ellipsoid $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 16 } + \frac { z ^ { 2 } } { 9 } = 1$ . Find the quotient $\frac { V _ { e } } { V _ { t } }$ .

• A) \(\frac { 4 \pi } { 3 }\)
• B) \(4 \pi\)
• C) \(\frac { 2 \pi } { 3 }\)
• D) \(8 \pi\)

---

Definitions:

Ethical Programs

Initiatives designed to foster ethical standards and practices within an organization.

Trust

The reliance on the integrity, strength, ability, or surety of a person or thing; confidence.

Responsibility

The obligation to perform tasks, take care of something, or make decisions, often associated with a role or position.

Sexual Harassment

Sexual harassment involves unwanted and inappropriate sexual advances or obscene remarks, typically in a workplace or academic setting, that create a hostile environment.