Alyssa is designing a cone to scoop water from a tank. She figured that the scoop should hold approximately 66 in3 of liquid. The diameter of her cone is 6.5 in. What should be the height of the cone? Round your answer to the nearest whole number. The height should be in

11

Step-by-step explanation:

I divided 66 by 6.5 and got 10.153846153846153846153846153846 then I just rounded it to 11.  I actually went based off of radius and height. Hope this helps:)

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