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.
[tex]A_L=\pi rl[/tex]where r is the radius and l is the slant height.
Step 2
Substitute the values into the formula.
[tex]10.8=3.14\times2.7\times l[/tex][tex]10.8=8.478l[/tex]Step 3
Divide both-side of the equation by 8.478
[tex]l=\frac{10.8}{8.478}[/tex][tex]\approx1in[/tex]ANSWER
SH = 1 in