由题意，z=6-x2-y2及z＝x2+y2的交线为6−x2−y2＝x2+y2解得：x2+y2=4（舍去x2+y2=9）∴Ω在xoy面的投影为D={（x，y）|x2+y2≤4}∴Ω的体积V＝∫∫∫Ω[6−x2−y2−x2+y2]dxdydz而Ω＝{(x，y，z)|x2+y2≤z≤6−x2−y2...