Answer: 
Step-by-step explanation:
The formula for the lateral area of a cone
is:

Where:
is the radius of the circular base of the cone
As we know its diameter
, its radius is 
is the height of the cone

This is the lateral area of the volcano with the shape of a cone
4x = 17+5
x = 22/4
x = 11/2 = 5.5
Natural log? Please be specific.