设Ω是由圆锥面z²=3x²+3y²(z≥0)及球面x²+y²+z²=a²(z≥0)所围的区域，用球面坐标计算三重积分I=∫∫∫_Ωsin(x²++y²+z²)dυ，则下列结论错误的是()

设Ω是由圆锥面z²=3x²+3y²(z≥0)及球面x²+y²+z²=a²(z≥0)所围的区域，用球面坐标计算三重积分I=∫∫∫_Ωsin(x²++y²+z²)dυ，则下列结论错误的是()

A.I=∫₀^π/3dφ∫₀^2πdθ∫₀^ar²sinr²sinφdr;

B.I=∫₀^π/6dφ∫₀^2πdθ∫₀^ar²sinr²sinφdr;

C.I=2∫₀^π/6dφ∫₀^πdθ∫₀^ar²sinr²sinφdr;

D.I=4∫₀^π/6dφ∫₀^π/2dθ∫₀^ar²sinr²sinφdr;

正确答案是A