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∫∫亮雹∫Ω (x²+y²)dxdydz
=∫(-R,R) dz∫(0,2π) dθ∫(0,∨(R²-z²)) r³dr
=π/2 ∫(-R,R) (R²-z²)²dz
=π/2 ∫(-R,R) (R^4-2R²z²+z^4)dz
=π/2 (R^4 ·z-2/3 R²z³+1/5 z^5) |(-念塌R,R)
=π (R^5-2/3 R^5+1/5 R^5)
=8/敬高帆15 πR^5
选择C
=∫(-R,R) dz∫(0,2π) dθ∫(0,∨(R²-z²)) r³dr
=π/2 ∫(-R,R) (R²-z²)²dz
=π/2 ∫(-R,R) (R^4-2R²z²+z^4)dz
=π/2 (R^4 ·z-2/3 R²z³+1/5 z^5) |(-念塌R,R)
=π (R^5-2/3 R^5+1/5 R^5)
=8/敬高帆15 πR^5
选择C
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