Acylindrical water tank's height is 48 feet and the diameter is 30 feet. considering that 1 cubic yard = 202 gallons, how many gallons are in the tank when filled to capacity? (π = 3.14)

Step-by-step explanation:

r=d/2 r=30/2=15ft

h=48ft

v=πr²h

v=3.14*15²*48

v=33912ft³

cubic foot=0.037*33912

cubic foot=1254.74cubic foot

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

answer by yourhope:

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