A community for students.
Here's the question you clicked on:
 0 viewing
sasogeek
 3 years ago
A manufacturing company makes open cylindrical containers each with a capacity of 100cm^3. if the radius of the cylinders is r cm, find the value for which the area of the metal sheet required is minimum.
sasogeek
 3 years ago
A manufacturing company makes open cylindrical containers each with a capacity of 100cm^3. if the radius of the cylinders is r cm, find the value for which the area of the metal sheet required is minimum.

This Question is Closed

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.0the capacity is 1000cm^3

FoolForMath
 3 years ago
Best ResponseYou've already chosen the best response.0\(A = 2 \pi r h \) \[ V = \pi r^2 h = 10^3 \] substitute and then differentiate you will get your answer.

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.0how do i get rid of h...

FoolForMath
 3 years ago
Best ResponseYou've already chosen the best response.0I gave you so many hints .. :)

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.0ok so \(\large h=\frac{10^3}{\pi r^2} \) i substitute this and then differentiate...

sasogeek
 3 years ago
Best ResponseYou've already chosen the best response.0when i substitute, i end up with \(\large A=\frac{2000}{r} \) ... how do i differentiate this and still get a value of r ?
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.