Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. a) a cylindrical length of wire has a radius of 4

a) A cylindrical length of wire has a radius of 4 mm and a length of...

50.1K

Verified Solution

Question

Basic Math

a) A cylindrical length of wire has a radius of 4 mm and alength of 10 cm. If the length is growing at a rate of 2 cm/sec andthe radius is shrinking at a rate of 1 mm/sec, what is the rate ofchange of the volume in cm3/sec at that point in time. (Be carefulof units)

b) Consider the same length of wire as before (radius of 4 mmand length of 10 cm). This time we are stretching the wire at arate of 2 cm/sec. If the total volume is not changing, what is therate of change of the radius in mm/sec at this point in time.

Answer & Explanation Solved by verified expert
3.6 Ratings (303 Votes)
awe know that volume of a cylindrical wire is given bywherer radius of the wirel length of the wiredifferentiate both the side with respect to t we can write1As given wire has a radius of 4 mm henceAs given wire has a length of 10 cm henceAs given length is growing at a rate of 2    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

Other questions asked by students

Statistics
1.2K views

A simple random sample of pages from Merriam Webster s Collegiate Dictionary 11th ed was...

Finance
1.2K views

You are the financial analyst for a tennis racket manufacturer. The company is considering using a...

Chemistry
1.2K views

A gaseous fuel mixture stored at 744 mm Hg and 298 K contains only methane (CH4)...

Physics
1.2K views

You cool a 130.0 g slug of red-hot iron (temperature 745 ?C) by dropping it into...

Mechanical Engineering
1.2K views

The radius of a circular truncated cone varies with x as R(x) = (r/L)(8L-0.5x). Determine the...

Calculus
1.2K views

by setting the x intercept and the moving asymptotes Provide your answer below 10 3...

Accounting
1.2K views

Use the following data Gross invoice (includes freight): $1,000 Freight: $100 Date of invoice: 8/11...

Accounting
1.2K views

problem 1 Leases (Based on IFRS 16)(30%) The following facts pertain...

Accounting
1.2K views

Crane Company is considering two different, mutually exclusive capital expenditure proposals. Project A will cost...

Accounting
1.2K views

Fashion Inc. (Fashion or the Company), an SEC registrant, is a fashion retailer that sells...

Accounting
1.2K views

The amount of ending inventory after the January 10th sale, assuming FIFO inventory method is:...

Accounting
1.2K views

Jones Excavation Company is planning an investment of $125,000 for a bulldozer. The bulldozer is...