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\[\frac{ dV }{ dt } = +2.9, \frac{ dH }{ dt }=?\]

of a regular cone, yes

\[V = \frac{ 1 }{ 3 }(\pi)r^2h\]

No this one, have 2 bases!

i think what we are supposed to do though is make it into two cones though

|dw:1353202550485:dw|

R is top radius?

b and B represent the different volumes?

how did you derive this formula

oh ok

ill try it. thanks!

hmm

have you tried it?

im getting a wrong answer

i got .383...m/min

answer is supposed to be 10.3 cm/min

oh wait i think i made an error.. let me recalculate

what did you get?

oh wait.. 1/27, not 1/9

ok yeah thats what i get now

taking its derivative, you get
\[\frac{ 7 }{ 3 }(\pi)h^2\]

dh/dt beside it of course

(2.9)/(7pi/3) = dh/dt after you plug h =1, which does nothing

0.395...m^3/min

i think we did it right, not sure why its resulting in the wrong answer

did you get 0.395...m/min

doesnt that still result in 39.5cm/min then?

try reading this http://www.askmehelpdesk.com/mathematics/related-rates-frustum-cone-352086.html

it might be a solution, but i dont get it

hmm is there anything extra in the formula you may have forgotten

http://www.youtube.com/watch?v=1v1Pp-lJSKY this video ?

bleh, the formula without the sq.root doesnt work either...

!!! i think i got it

forgot the pi from the above forumla

http://jwilson.coe.uga.edu/emt725/Frustum/Frustum.cone.html

i got 10.1 though...calculator didnt take exact values

\[V = \frac{ (\pi)h }{ 3 }[R^2 + Rr + r^2]\]

im going to calculate it again..

im getting 10.05... cm/min
that is slightly off

hm ok

thanks

im going to try it with different values

oh wait...i used base for r in that last formula

uh oh

ill try it with r/R

annnnnnd were back to 21pi/27 h^3

yeah, i accidently used the B/b for that forumla instead of R/r

and yet i got close to a right answer

do we sub in h = 1 or h =6?
h = 1 is right isnt it?

Yes, we calculate the instant rate when h = 1

the other guy reading this question: are you doing this question?

*learning* ._.!

i could switch the values for the question and try it again if you want, haha

ok i will

answer: 1.4cm/min

alright

i get 1.9 ..hmmm

it could be a glitch with the thing, maybe.

ok, im pretty sure were doing it right. imma close this down

thanks for the help

thanks!

thanks!

Ratio R and H:
( R - 8 )/ ( 9-8) = H/5
-> R = ( H/5 ) + 8