Assignment:
A solid metal sphere at room temperature of 20 degrees Celsius is dropped into a container of boiling water (100 degrees Celsius). If the temperature of the sphere increases 2 degrees Celsius in 2 seconds, what will the temperature be at time t=6 seconds? how long will it take for the temperature of the sphere to reach 90 degrees Celsius?
Provide complete and step by step solution for the question and show calculations and use formulas.