which of the following statement is true about a Gabriel's horn created from f(x)=3/x by revolving the area under the curve of f(x) around the x-axis from [1, positive infinity)? (multi-select)

A. you can fill it with 9pi cubic units of water. (the volume converges to 9pi).

B. you can fill it with 6pi cubic units of water. (The volume converges to 6pi).

C. You can paint it with 6pi square units of paint. (The surface area converges to 6pi).

D. If you filled it with chocolate milk, you would have unlimited chocolate milk. (The volume diverges).

E. if you hired a billion people to paint it, they would never finish. (The surface area diverges).