A cup can refer to a variety of different measurements (see Cup (unit) - Wikipedia). The cup OP referenced is a metric cup, a US customary cup is 8 US fluid ounces. Measuring cups can come labelled using cups as a unit, usually including a whole cup, and that is presumably what OP was referring to.
That code point is U+0D9E SINHALA LETTER KANTAJA NAASIKYAYA. It’s a letter in a writing system used in Sri Lanka.