The formula of lateral surface area of cone is
[tex] Area= \pi * r * l [/tex]
Here r represents radius and l represents the slant heigh .
In the question it is given that, radius, r =14.2
And
[tex] Area = 612 \pi [/tex]
Substituting these values in the formula of lateral area of cone, we will get
[tex] 612 \pi = \pi *14.2*l [/tex]
Now we need to solve for l and for that we need to divide both sides by 14.2 pi, that is
[tex] \frac{612 \pi}{14.2 \pi}= l [/tex]
l = 43 (approx )
