Question

My head will explode, Help plz !!!!!!
a container is filled with brine. container has the shape of a vertical cylinder of radius 5cm and 10cm height. salt is unevenly distributed as salt concentration near the base is greater than it is near the surface. the distance x cm from the bottom is the salt concentration
C (X) = 10 / (x + 5) determine the total amount of salt

Answer 1

is there anymore info?

Answer 2

do you know calculus, integration?

Answer 3

basically\[785.4-\frac{ 10 }{ (x+5) }\]

Answer 4

solve for x and boom! ur answer

Answer 5

lets call the total amount of salt upto height 'x' as S(x)
we know that concentration of salt X volume= amount of salt,
i.e
dS=C(x)dV

we know that \[V=\pi r^2x\\so\\dV=\pi r^2 dx\]

Answer 6

substitute
\[dS= c(x) \pi r^2 dx\]

Answer 7

integrate from x=0 to x=10 to get answer

Answer 8

can you explain more plz :)

Answer 9

do you understand what salt concentration means?

Answer 10

No i do not

Answer 11

ok.
what does this give: (mass of salt)/(volume of water)

Answer 12

sorry i'm confused,
which equation I have to integrate x=0 to x=10 to get answer

Answer 13

the equation right above the post saying integrate x=0.......

Answer 14

:)

Answer 15

u hav to substitute C(x) and r

Answer 16

x=0