16/07/01 02:19:38.95 SkwSYP6/.net
>>376
答は合ってるが最初が間違い
V＝∫_E dxdydz, E：x^2＋y^2≦z≦1－x－y
V＝∫_D (1－x－y－x^2－y^2)dxdy, D：x^2＋y^2≦1－x－y
V＝∫_D (3/2－(x＋1/2)^2－(y＋1/2)^2)dxdy, D：(x＋1/2)^2＋(y＋1/2)^2≦3/2
V＝∫_D (3/2－r^2)rdrdθ, D：0≦r≦√(3/2), 0≦θ≦2π
V＝2π∫_[0~√(3/2)] (3/2－r^2)rdr＝9π/8