A rectangular tank has a base that is 16 inches by
5 inches and a height of 18 inches. If the tank is
half full of water, by how many inches will the
water level rise if 260 cubic inches of water are
poured into it?
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OpenStudy (anonymous):
tips?
OpenStudy (anonymous):
first calculate the volume=16*5*18...then calculate the half volume...and 260 into that and substarct from the total volume
OpenStudy (anonymous):
k
OpenStudy (anonymous):
the total volume is 1,440
OpenStudy (anonymous):
half of the volume is 720
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OpenStudy (anonymous):
so
OpenStudy (anonymous):
wait...
OpenStudy (anonymous):
so
OpenStudy (anonymous):
here's the deal
OpenStudy (anonymous):
the whole volume is 1,440
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OpenStudy (anonymous):
and half the volume is 720
OpenStudy (anonymous):
now, if I add 260 cubic inches of water...
OpenStudy (anonymous):
how high it will rise in inches?
OpenStudy (anonymous):
tips?
OpenStudy (anonymous):
what i said add halkf volume to 260 what it becomes
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OpenStudy (anonymous):
well..
OpenStudy (anonymous):
here's the thing
OpenStudy (anonymous):
the volume only rises 13/4 inches
OpenStudy (anonymous):
but why?
OpenStudy (phi):
the volume of 260 cc is base * height
base is 5*16
height is to be found
80*h= 260
solve for h
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OpenStudy (anonymous):
260 cubic inches were added to a body of 720 cubic inches, right?
OpenStudy (anonymous):
ahh
OpenStudy (anonymous):
so
OpenStudy (anonymous):
3.25
OpenStudy (anonymous):
ahh
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OpenStudy (anonymous):
rise is the key word
OpenStudy (phi):
3.25 is also 13/4 inches
OpenStudy (anonymous):
rise means in height
OpenStudy (anonymous):
ahh...
OpenStudy (phi):
the half full part does not affect anything... unless the 260 cc caused the tank to overflow. Not a problem here.
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OpenStudy (aripotta):
|dw:1347912681211:dw|
12.25 - 9 = 3.25. the water raised 3.25 inches.