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

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) $8 \pi$