Find the total surface area of a hemisphere with a radius of $11\text{cm}$?

The formula for the total surface area ($\text{TSA}$) of a hemisphere with radius $r$ is given by:
$$\text{TSA}=3\pi r^2$$

Given:

* Radius ($r$) = $11\text{cm}$

Substitute the value of $r$ into the formula:

$$\text{TSA}=3\times \pi \times (11{)}^2$$

$$\text{TSA}=3\times \pi \times 121=363\pi {\text{cm}}^2$$

Therefore, the total surface area of the hemisphere is $363\pi {\text{cm}}^2$.