Cork remain on top of Division One A of the National Hurling League.
Barry Walsh, Alan Walsh and Brian Hayes scored the goals as the Rebels beat Kilkenny by 3-12 to 1-15 to make it make four wins from four.
Galway have picked up a crucial win in their bid to beat the drop.
Colm Molloy and Ronan Glennon hit the net as the Tribesmen overcame Waterford by 2-18 to 16-points in Salthill.
Offaly have been relegated following their 2-19 to 17-points defeat to Limerick, where Shane O'Brien and Cathal O'Neill scored the goals for the Treaty.
Limerick hurling manager John Kiely says they'll be without midfielder Darragh O’Donovan "for the foreseeable future" after he suffered a shoulder injury in this afternoon's win at Offaly.
The 31-year-old was forced off the pitch in the first half, and Kiely's confirmed that the Doon clubman has injured his AC joint.
O'Donovan has won two All-Stars and five All-Ireland titles with the Treaty and he faces a race to be fit for the Munster Championship.
In Division One B, Dublin eased to a 1-31 to 1-16 win at Antrim, with Kildare defeating Down by 3-24 to 1-13.
