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

The formula of lateral surface area of cone is

Here r represents radius and l represents the slant heigh .

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

And

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

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

l = 43 (approx )

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.