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:

Masculine Lifestyle

A lifestyle or way of living that embodies traditionally masculine traits and behaviors, often emphasizing strength, independence, and assertiveness.

Mende Girls

A term that may refer to young females within the Mende ethnic group, which is primarily found in Sierra Leone, known for their rich cultural traditions and societal roles.

Female Initiation Rites

Ceremonial practices marking the transition of girls into womanhood, often involving traditional rituals and teachings specific to a culture.

Menstruation

A natural biological process where blood and other material from the lining of the uterus is discharged through the vagina, typically occurring in human females from puberty to menopause.