×
Log in to StudySoup
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3.4 - Problem 19e
Join StudySoup for FREE
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3.4 - Problem 19e

Already have an account? Login here
×
Reset your password

The shape of a bacterium can be approximated by a cylinder

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 19E Chapter 3.4

Statistics for Engineers and Scientists | 4th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

4 5 1 371 Reviews
30
5
Problem 19E

The shape of a bacterium can be approximated by a cylinder of radius r and height h capped on each end by a hemisphere. The volume and surface area of the bacterium are given by

   

   

It is known that the rate R at which a chemical is absorbed into the bacterium is R = c(S/ V), where is a constant of proportionality. Assume that for a certain bacterium, r =0.9 ±0.1 μm. and h = 1.7 ±0.1 μm.

a. Are the computed values of S and V independent? Explain.

b. Assuming the measurements of r and h to be independent, estimate R and find the uncertainty in the estimate. Your answer will be in terms of c.

Step-by-Step Solution:

Answer:

Step 1 of 4:

                Given the shape of a bacterium can be approximated by a cylinder of radius r and height h capped on each end by a hemisphere.

             Given the volume and surface area of the bacterium are

                          

                       

            The rate R= c(S/V)

           Given that for a certain bacterium,   and


 

Step 2 of 4

Chapter 3.4, Problem 19E is Solved
Step 3 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

The shape of a bacterium can be approximated by a cylinder