Can I run this pipe through joists?
According to International Residential Code, you can bore a hole with a diameter one-third the depth of the joist. You have to keep the hole 2" from the top or bottom of the joist.

For a 2x10, you can bore a hole up to 3" in diameter.  

9.25" / 3 = 3.08333" diameter

However, this is only for sawn lumber.  If the floor is made up of engineered joists, you'll have to talk to an engineer.