A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

grain silos can be described as a hemisphere sitting atop a cylinder. The interior volume V of the silo can be modeled by V=2/3πr^3+πr^2h, where h is the height of a cylinder with radius r. For a cylinder 6m tall, what radius would give the silo a volume that is numerically equal to 24π times the radius?

  • This Question is Closed
  1. campbell_st
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    this is always fun... \[24\pi r = 2/3 \pi r^3 + \pi r^2 \times6\] divide by pi Simplifying \[24 r = 2/3 r^3 + 6r^2\] \[36r = r^3 + 9r^2\] divide by r \[r^2 + 9r - 36 = 0\] solve the quadratic... and remember only the the positive r as length can only be positive

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1327395622906:dw|

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

    |dw:1327395734101:dw|

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    r=3

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac12*\frac43*\pi*r^3+\pi*r^2*h=24*\pi*2*r\]

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you very much!

  7. 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.