laraqual0evladell laraqual0evladell

19-07-2016
Mathematics

Answered

A water storage tank has the shape of a cylinder with diameter 10 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 8 ft, what percentage of the total capacity is being used?

Verified Answer :

meerkat18 meerkat18

20-07-2016

let
l= length of the cylinder

V=πr²l r=11 Vt=(380.133)l
x=√(121-y²)

dv=2x dy
10
V=∫2l√(121-y²) dy=(373.965)l ft³
-11
% of the total capacity being used=(373.965/380.133)100
=98.38%

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