A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

please help asap.. water is being drained from a container which has the shape of an inverted right circular cone. the container has a radius of 6.00 inches at the top and a height of 10.0 inches. at the instant when the water in the container is 9.00 inches deep, the surface level is falling at a rate 1.2 inches per second. find the rate at which water is being drained from the container.

  • This Question is Closed
  1. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    use similar triangles to put the volume formula for the cone into a function of just height

  2. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    differentiate, and solve for dV/dt

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I have no idea what im doing on this problem or what goes where?

  4. triciaal
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1438102666151:dw|

  5. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1438103043478:dw|

  6. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you know the formula for the volume of a cone as a function of its height V=f(h)

  7. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    solve for r, and put that into the volume formula so it is just in terms of h.

  8. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Givens - h=9, dh/dt = 1.2

  9. triciaal
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and I saw this |dw:1438103242401:dw|

  10. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[V = \frac{ 1 }{ 3 }\pi*r^2*h\] from similar triangles... \[r = \frac{ 3 }{ 5 }h\] \[V(h) = \frac{ 1 }{ 3 }\pi*(\frac{ 3 }{ 5 }h)^2*h\]

  11. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    simplify that, then differentiate both sides w.r.t time, you are given dh/dt

  12. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    when h = 9

  13. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[V = \frac{ 3 }{ 25 }\pi*h^3\]

  14. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    chain rule \[\frac{ dV }{ dt }=[\frac{ 3 }{ 25 }\pi]*3h^2*\frac{ dh }{ dt }\]

  15. DanJS
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you are given h and dh/dt, find dV/dt

  16. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.