Answer:
Name of the figure: Cone
Lateral Area: 770.66
Total Surface Area: 1084.82
Step-by-step explanation:
We identify the figure as a cone.
The lateral surface area of a cone is given by

The total surface area includes the area of the base as well.
Since the area of the base is

The total surface area then is

where
r = radius of the base
h = height of the cone.
Now in our case
r = 20/2 = 10
h = 22.4
therefore,


Therefore,


Hence, to summerise,
Name of the figure: Cone
Lateral Area: 770.66
Total Surface Area: 1084.82