Answer:
Using more boiling water is LEAST likely to help
Step-by-step explanation:
Using less room-temp. water in the styro cup (as long as the piece of metal is fully immersed) is helpful because less volume of water would heat up quicker and the ΔT would be greater.
Using more metal is helpful because more heat will transfer to the water and make it easier to measure the temperature increase.
Using more boiling water will not make the metal piece get any higher than the boiling point of water, so this is not helpful, plus it would take longer to boil a greater volume water, thus slowing down the experiment.
A more sensitive thermometer is helpful because it would improve the precision of the measurements.