可先计算球半径,连接AB、BC、AC、OA、OB、OC、OP.
显然:OA=OB=OC=OP=R
AB=BC=AC=√2
(2R) ^2 =(√2 ^2 +1^2)解得:R=√3 / 2
V = (4/3)πR^3 = (4/3)×π×(√3 / 2)^3 = (√3/ 2 )π
可先计算球半径,连接AB、BC、AC、OA、OB、OC、OP.
显然:OA=OB=OC=OP=R
AB=BC=AC=√2
(2R) ^2 =(√2 ^2 +1^2)解得:R=√3 / 2
V = (4/3)πR^3 = (4/3)×π×(√3 / 2)^3 = (√3/ 2 )π