gaokao 2015 Q9

gaokao · China · national-II-science 5 marks Not Maths
Points $A$ and $B$ are on the surface of sphere $O$, with $\angle A O B = 90°$. Point $C$ is a moving point on the sphere surface. If the maximum volume of tetrahedron $O-ABC$ is 36, then the surface area of sphere $O$ is
A. $36 \pi$
B. $64 \pi$
C. $144 \pi$
D. $256 \pi$
Points $A$ and $B$ are on the surface of sphere $O$, with $\angle A O B = 90°$. Point $C$ is a moving point on the sphere surface. If the maximum volume of tetrahedron $O-ABC$ is 36, then the surface area of sphere $O$ is

A. $36 \pi$

B. $64 \pi$

C. $144 \pi$

D. $256 \pi$