Math Problem Statement
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Math Problem Analysis
Mathematical Concepts
Vector Calculus
Spherical Coordinates
Cylindrical Coordinates
Triple Integration
Moment of Inertia
Mass Distribution
Formulas
Vector cross product: (∂r/∂r × ∂r/∂θ) · ∂r/∂ϕ
Mass: M = ∫∫∫ ρ dV
Moment of Inertia: I = ∫∫∫ ρ r^2 sin^2(θ) dV
Theorems
Divergence Theorem
Triple Integral Transformation
Suitable Grade Level
Undergraduate (Calculus III or Advanced Calculus)
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