STEP - BY - STEP EXPLANATION
What to find?
The slant height of a cone.
Given:
lateral area = 10.8
radius = 2.7
Step 1
Recall the formula of the lateral area of a cone.

where r is the radius and l is the slant height.
Step 2
Substitute the values into the formula.


Step 3
Divide both-side of the equation by 8.478


ANSWER
SH = 1 in