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

question 80

Multiple Choice

Solve the problem.
-Find the moment of inertia $\mathrm { I } _ { \mathrm { y } }$ of a tetrahedron of constant density $\delta ( x , y , z ) = x + y + z$ bounded by the coordinate planes and the plane $\frac { x } { 4 } + \frac { y } { 7 } + \frac { z } { 8 } = 1$ .

• A) \(\frac { 74,816 } { 27 }\)
• B) \(\frac { 74,816 } { 45 }\)
• C) \(\frac { 74,816 } { 47 }\)
• D) 2338

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