Final answer:
The band with a Ben & Jerry's ice cream named after them is Phish, and the flavor is called Phish Food. This partnership reflects their common values and supports environmental causes through the WaterWheel Foundation.
Step-by-step explanation:
The band founded in Burlington, Vermont, which has its name on a single product, a chocolate ice cream with marshmallow and caramel swirls, from the local company Ben & Jerry's, is Phish. The ice cream is named Phish Food, and it's a play on the band's name, with its unique combination of flavors making it a popular choice among Ben & Jerry's offerings.
The partnership between Phish and Ben & Jerry's reflects the band's laid-back, community-oriented ethos and their mutual commitment to giving back, as a portion of the proceeds from Phish Food supports environmental causes through the WaterWheel Foundation, which is associated with the band.