A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
water is running out a conical funnel at the rate of 1cu in per sec. if the radius of the base of the funnel is 4an and the altitude is 8in. find the rate at which the water level is dropping when it is 2 in from the top.
anonymous
 5 years ago
water is running out a conical funnel at the rate of 1cu in per sec. if the radius of the base of the funnel is 4an and the altitude is 8in. find the rate at which the water level is dropping when it is 2 in from the top.

This Question is Closed

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0change of rates eh....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0v' = 1 ft^3 per sec; or simply 1 the rate of h is what we wanna determine

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0volume of a cone = (1/3)(base area)(height)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the relation of height to raduis is given by the cross section of the cone

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you show the solution?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0v = (1/3)(pi 2^2)(2r +8)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0im working on it; havent got to the end yet lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0pi 2^2 was meant to be pi r^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lets re work that with h as the variabe so we can see the rate of change with respect to h and not r

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0r = (h8)/2 or (8h)/2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0v = (1/3)(pi ((8h)/2)^2)(h) perhaps?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[v = \frac{h}{3}*\frac{\pi.(8h)^2}{4}\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.064hpi +h^3pi 16h^2pi  = v derive now 12

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.064pi +3h^2pi 32hpi  = v' derive now 12

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0pi(64 +3h^2 32h) = 12 64 +3h^2 32h = 12/pi right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0maybe i mess that up alittle dv/dh = that up there dv/dt = 1 and dv/dh dh/dt = dv/dt

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we wanna find dh/dt sooo dh/dt = dh/dv dv/dt ; gotta take the inverse if thats gonna work

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0dh/dt is the inverse of dh/dv right :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0on paper i get dh/dt = 1/(9pi)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.