I need a math check....

A calorie is defined by "Any of several approximately equal units of heat, each measured as the quantity of heat required to raise the temperature of 1 gram of water by 1°C from a standard initial temperature, especially from 3.98°C, 14.5°C, or 19.5°C, at 1 atmosphere pressure."

1 Liter of water = 1000 grams

From article
"As far as the temperature of the liquid is concerned, it is more comforting to drink a warm liquid in the cold. But, think of the physics. Take an average man, weighing about 170pounds (80kg). Since we are 70% water, that 170pound (80kg) man is 120pounds (56kg) of water or 15 gallons (56liters) of water (one gallon of water weighs 8 pounds). So, if you were to take 1 quart (1 liter) of hot tea water at 110ºF (43.3ºC) and pour it into 15 gallons (56liters) of cool water at 90ºF (32.2ºC), it will raise the temperature from 90ºF (32.2ºC) to 90.3ºF (32.4ºC), not enough to make a clinical difference. But, if instead, you throw into that 170pound (80kg) man, 1 quart (liter) of a fluid containing sugar, now he has fuel to put into the furnace to burn, to get warm, stay warm, shiver, function, survive, and thrive."

In order to raise your temp the same amount (56 liters (56000 grams), 0.2*C) would require you to consume 2,800 calories to do the same thing as drinking the hot tea. Correct?

If calories are life the guy drinking the tea is going to live longer than the guy drinking cold sugar watter.