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Diketahui $S$ merupakan benda pejal di atas bidang-$xz$ dan $y\\geq 0$ yang dibatasi oleh bola $x^2+y^2+z^2=\\simplify{{a}}^2$. Rapat massa benda pejal tersebut adalah \$$\\delta(x,y,z)=z\\sqrt{x^2+y^2+z^2}\$$.

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Dalam koordinat bola, daerah $S$ dapat dituliskan sebagai \$$S=\\{(\\rho,\\theta,\\varphi):0\\leq \\rho\\leq a, 0\\leq \\theta\\leq b\\pi, 0\\leq \\varphi\\leq c\\pi \\}\$$ dengan $abc=\\ldots$.

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Masa benda pejal tersebut adalah $\\dfrac{A\\pi}{8}$ dengan $A=\\ldots$.

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Momen benda tersebut terhadap bidang-$xy$ adalah $\\dfrac{B\\pi}{12}$ dengan $B=\\ldots$.

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