Solve the Problem $I _ { Z }$ Of the Rectangular Solid of Density

question 268

Multiple Choice

Solve the problem.
-Find the moment of inertia $I _ { Z }$ of the rectangular solid of density $\delta ( x , y , z ) = x y z$ defined by $0 \leq x \leq 9,0 \leq y \leq 7$ , $0 \leq \mathrm { z } \leq 3$ .

• A) \(\frac { 2,321,865 } { 8 }\)
• B) \(\frac { 4,965,219 } { 16 }\)
• C) \(\frac { 1,035,909 } { 8 }\)
• D) \(\frac { 1,607,445 } { 8 }\)

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