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

Question

Ber [7]

2 years ago

14

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

ager one

Mathematics

1 answer:

skelet666 [1.2K] · Answer 1 · 2022-07-06T10:54:38+03:00

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