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 2 years ago
A trough is 12 feet long and 3 feet across the top. Its end are isolates triangles with altitudes of 3 feet. If water is being pumped into the trough at 2 cubic feet per min, how fast is the water level rising when the water is 1 foot deep?
 2 years ago
A trough is 12 feet long and 3 feet across the top. Its end are isolates triangles with altitudes of 3 feet. If water is being pumped into the trough at 2 cubic feet per min, how fast is the water level rising when the water is 1 foot deep?

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geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0@hartnn @Hero @helder_edwin @jiteshmeghwal9

jiteshmeghwal9
 2 years ago
Best ResponseYou've already chosen the best response.0sorry @geerky42 no idea :( i'm not good in geometry

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0Any idea? @rajathsbhat

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, actually. But tell me, is the trough like this:dw:1352120844035:dw?

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.1i don't get the "12 feet long" part.

phi
 2 years ago
Best ResponseYou've already chosen the best response.1Is isolates triangles supposed to be isosceles triangles?

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0I think this is what question means, but i honestly have no idea...

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.1where are the triangles? :\

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.1yes! phi's got it right!

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0So it's like trapezoid prism or what?

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0@mahmit2012 @mayankdevnani

rajathsbhat
 2 years ago
Best ResponseYou've already chosen the best response.1I think it's a triangular prism.

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0An isosceles triangular prism?

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0where it has base of 3ft and heigh of 3 ft?

phi
 2 years ago
Best ResponseYou've already chosen the best response.1the only thing that makes sense is dw:1352123776310:dw

phi
 2 years ago
Best ResponseYou've already chosen the best response.1The ratio of base to altitude of the triangular base is 3/3 = 1 when the water is at height h, the base (width of the water) is also h dw:1352123882327:dw the area as a function of h is 1/2 h^2 volume is 12 * 1/2 *h^2

phi
 2 years ago
Best ResponseYou've already chosen the best response.1\[ v= 6 h^2\] \[\frac{dv}{dt}= 12 h \frac{dh}{dt} \] plug in for h and dh/dt to find dv/dt

phi
 2 years ago
Best ResponseYou've already chosen the best response.1I still don't know what Its end are isolates triangles means....
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