Calculus Homework Help - Optimization Word Problem

In summary, the conversation involves a student seeking help with a calculus homework problem involving optimization. The problem is to determine the height and radius of a cylinder inscribed in a sphere of radius R in order to maximize its volume. The conversation also mentions using derivatives to solve the problem. The student is able to figure out the solution with some help.
  • #1
markcus
2
0
Calculus Homework Help -- Optimization Word Problem

I'm in a University Calculus class, and I am having trouble with one of my homework questions. Much help would be appreciated!

"Determine the height and radius of the cylinder of greatest volume that can be inscribed in a sphere of radius R units."

Also, we are learning about derivatives, so if the question is solved using them, please indicate!
Thank you so much!.
 
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  • #2
welcome to pf!

hi markcus! welcome to pf! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
  • #3


hey i actually figured it out, i think i was just having trouble visualizing it, it's not that bad though. but thanks!
 

Related to Calculus Homework Help - Optimization Word Problem

What is "Calculus Homework Help - Optimization Word Problem"?

"Calculus Homework Help - Optimization Word Problem" is a service that provides assistance with solving optimization problems in calculus. These problems involve finding the maximum or minimum value of a function, subject to certain constraints.

Why do students struggle with optimization word problems in calculus?

Students often struggle with optimization word problems in calculus because they require a deep understanding of both calculus concepts and problem-solving techniques. It can be challenging to apply these concepts and techniques to real-world situations, which are often presented in word problems.

How can "Calculus Homework Help - Optimization Word Problem" benefit students?

"Calculus Homework Help - Optimization Word Problem" can benefit students by providing them with step-by-step solutions to optimization word problems, allowing them to better understand the problem-solving process. It can also help students improve their problem-solving skills and increase their confidence in solving these types of problems on their own.

What types of optimization word problems can "Calculus Homework Help - Optimization Word Problem" assist with?

"Calculus Homework Help - Optimization Word Problem" can assist with a variety of optimization word problems, including those involving maximizing or minimizing area, volume, or cost, as well as problems involving rates of change and optimization of real-world scenarios.

How can I access "Calculus Homework Help - Optimization Word Problem"?

You can access "Calculus Homework Help - Optimization Word Problem" by searching for it online or by contacting a professional tutoring service. Some universities and colleges may also offer tutoring services for calculus students.

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