Question

The lateral area of a cone is 612 pi the radius is 14.2 what is the slant height

Answer 1

      A = πrs
612π = π.14,2. s
       s = 612/14,2
          = 43,1

Answer 2

The formula of lateral surface area of cone is

$Area= \pi * r * l$

Here r represents radius and l represents the slant heigh .

In the question it is given that, radius, r =14.2

And

$Area = 612 \pi$

Substituting these values in the formula of lateral area of cone, we will get

$612 \pi = \pi *14.2*l$

Now we need to solve for l and for that we need to divide both sides by 14.2 pi, that is

$\frac{612 \pi}{14.2 \pi}= l$

l = 43 (approx )