<prompt> Kwa pointi P, acha d_1, d_2 na d_3 inawakilisha umbali kutoka P hadi ndege x - z 0, x - 2y z 0, na x y z 0. Acha S iwe seti ya pointi P hivyod_12 d_22 d_32 36.Tafuta eneo la sauti iliyoambatanishwa na S.  <response>: Acha P a,b,c. Kisha umbali kutoka P hadi ndege x - z 0 nid_1 fraca - csqrt12 -12 fraca - csqrt2.The umbali kutoka P hadi ndege x - 2y z 0 nid_2 fraca - 2b csqrt12 -22 12 fraca - 2b csqrt 6.Na, umbali kutoka P hadi kwa ndege x y z 0 nid_3 fraca b csqrt12 12 12 fraca b csqrt3 .Kisha mlinganyo d_12 d_22 d_32 36 inakuwafraca - c22 fraca - 2b c26 fraca b c23 36.Hii hurahisisha a2 b2 c2 36. Hivyo, S ni tufe yenye radius 6, hivyo ujazo wake nifrac43 pi cdot 63 288 pi. 