Solve the Problem $\mathrm { I } _ { \mathrm { z } }$

question 367

Multiple Choice

Solve the problem.
-Find the moment of inertia $\mathrm { I } _ { \mathrm { z } }$ of a tetrahedron of constant density $\delta ( x , y , z ) = 1$ bounded by the coordinate planes and the plane $\frac { x } { 9 } + \frac { y } { 8 } + \frac { z } { 5 } = 1$ .

• A) 1020
• B) 534
• C) 636
• D) 870