A cylindrical can of radius 10 millimeters is used to measure rainfall in Stormville. The can is initially empty,
and rain enters the can during a 60-day period. The height of water in the can is modeled by the function S,
where S t( ) is measured in millimeters and t is measured in days for 0 60. ≤ t ≤ The rate at which the height
of the water is rising in the can is given by S t t ′( ) = 2sin 0.03 1.5
c) Assuming no evaporation occurs, at what rate is the volume of water in the can changing at time t = 7 ?Indicate units of measure

ok so im stuck to why c) is 602.218 help?

Question

A cylindrical can of radius 10 millimeters is used to measure rainfall in Stormville. The can is initially empty, 
and rain enters the can during a 60-day period. The height of water in the can is modeled by the function  S, 
where  S t( ) is measured in millimeters and  t is measured in days for  0 60. ≤ t ≤ The rate at which the height  
of the water is rising in the can is given by  S t  t ′( ) = 2sin 0.03 1.5
c)  Assuming no evaporation occurs, at what rate is the volume of water in the can changing at time t = 7 ?Indicate units of measure

ok so im stuck to why c) is 602.218 help?

liizzyliizz · Answer

s'(t)= 2sin(0.03t)  +1.5 btw

anonymous · Answer

i honestly have no idea its a confusing question
if i could help i would

liizzyliizz · Answer

:( lol murrr, I am looking at the explanation and im confused with the relationship between v(t) and s(t) like i understand what volume is, but i dont understand where they pulled this function out : v(t) = 100pi* s(t) like where did the 100pi come from? that is where I am stuck

liizzyliizz · Answer

Ohhhhhh wait it is a cylinder... i see where the pi comes in, but the 100? lol

anonymous · Answer

pi is 3.14 last i knew lmfao

liizzyliizz · Answer

the squared it? O.o i am assuming that is what they did...

anonymous · Answer

then try it and see what it says

liizzyliizz · Answer

-SIGH- calculus lol I shall see How this goes.

anonymous · Answer

ohhh lmfao i dont have calc im in algebra two do you  think maybe you could help me out?

liizzyliizz · Answer

lol err well I am stuck doing calculus at the moment... so let me see if i can magically make time.... xD wait so if you dont know calculus why did you decide to respond to this? that's a tad odd dont you think. :p

anonymous · Answer

well i thought maybe i would be able to help im really good at math its a stong subject in my book but i suck at algebra

anonymous · Answer

and chemistry i passed with 108.9%

liizzyliizz · Answer

lol arent you contradicting yourself there? well Algebra is the foundation for every other level of math out there lol... trust me i forgot how to do certain things and my algebra skills suck so. it is coming back to haunt me. learn algebra as if your life depended on it :p