A cylindrical paint can has a capacity of one gallon. for another size can, the height is doubled. what is the capacity of the lager one

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14-04-2018
Mathematics

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A cylindrical paint can has a capacity of one gallon. for another size can, the height is doubled. what is the capacity of the lager one

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calculista calculista · Answer 1 · 2018-04-23T22:26:55+02:00

we know that

[volume of a cylindrical paint can 1]=[area of the base]*h
so
[area of the base]*h=1 gallon

if the height is doubled
[volume of a cylindrical paint can 2]=[area of the base]*(2*h)
[volume of a cylindrical paint can 2]=2*{[area of the base]*h)}
[volume of a cylindrical paint can 2]=2*[volume of a cylindrical paint can 1]
[volume of a cylindrical paint can 2]=2*[1 gallon]-----> 2 gallons

the answer is
the capacity of the lager one is 2 gallons