How much do you bet on this River?

[Harry]

Poker Stars
No Limit Holdem Ring game
Blinds: $0.10/$0.25
6 players
Converter

Stack sizes:
UTG: $25
Hero: $35.75
CO: $33.65
Button: $29.60
SB: $16.35
BB: $25

Pre-flop: (6 players) Hero is UTG+1 with K K
UTG folds, Hero raises to $1, CO folds, Button calls, SB folds, BB calls.

Flop: 6 8 T ($3.1, 3 players)
BB checks, Hero bets $2.25, Button calls, BB folds.

Turn: 6 ($7.6, 2 players)
Hero bets $6.25, Button calls.

River: 6 ($20.1, 2 players)
Hero bets $10

Results:
Final pot: $20.1

Villain is a decent thinking player.
How much do you be here and why?

[samsonite2100]

I push b/c the odds are really good he has a lower boat than you, and no one folds the boat.

[NLHE lahooozaher]

I push b/c the odds are really good he has a lower boat than you, and no one folds the boat.