A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Lab is to find the radius and height of a right circular cylinder where the surface area and volume are the same number. Is there a solution? Is there more than one?

  • This Question is Closed
  1. campbell_st
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well the surface area is \[SA = 2\pi r^2 + 2\pi r h\] and the volume is \[V = \pi r^2 h\] so if they are equal to the same number \[\pi r^2 h = 2\pi r^2 + \pi r h\] and then work from there..

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

    what should I choose for the number? any?

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

    so if you have \[\pi r^2 h = 2 \pi r^2 + 2 \pi r h\] divide every term by \[\pi r\] then \[rh = 2r + 2h\] make h the subject \[h( r -2) = 2r\] then \[h = \frac{2r}{r + 2}\]

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

    that's my best guess at this question... so r > 0

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

    so as r gets large it looks like h gets closer to 2...

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

    ok thanks

  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.