Why would the temperature of a full teapot tea and teacup be same even though holds more?

This is not necessarily true. The temperature of the tea in the teapot and teacup may differ depending on several factors, even if the teapot holds more tea. Here are a few reasons why the temperatures might not be the same:

- Surface area: The teapot likely has a larger surface area than the teacup, allowing for more heat transfer between the tea and the surrounding environment. This can result in a slight cooling effect on the tea in the teapot compared to the tea in the teacup.

- Insulation: The teapot and teacup may have different thermal properties. For example, a porcelain teapot might retain heat better than a glass teacup, leading to a higher temperature difference between the two vessels.

- Volume of tea: The amount of tea in the teapot and teacup can also influence the temperature. If the teapot contains a significantly larger volume of tea, it might take longer for the heat from the water to distribute evenly throughout the tea leaves, resulting in a lower initial temperature compared to the teacup with a smaller volume.

- Time since pouring: If some time has passed since pouring the tea from the teapot into the teacup, the tea in the teacup might cool down faster due to its smaller volume and potential exposure to the surrounding environment.