A water tank consists of a cylindrical part of radius r and height h and...

90.2K

Verified Solution

Question

Mechanical Engineering

A water tank consists of a cylindrical part of radius r and height h and a hemispherical top. The tank is to be constructed to hold 600 m³Â when filled. The surface area of the cylindrical part is 2Ï€rh, and its volume is Ï€r²h. The surface area of the hemispherical top is given by 2Ï€r², and its volume is given by 2Ï€r³/3. The cost to construct the cylindrical part of the tank is $400 per square meter of surface area; the hemispherical part costs $600 per square meter. Use the fminbnd function to compute the radius that results in the least cost. Compute the corresponding height h.
Â
Â

Answer & Explanation Solved by verified expert

4.5 Ratings (621 Votes)

Program plan Write a function having two arguments height and the total cost of constructions as the function of radius fminbnd is used to find the least value of the function between the given intervals Program A function is See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member