A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.3 mm. According to the formula below, what would be the volume of one of these bubbles? r = root(3, (3V)/(4s))​

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+

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