Postal regulations specify that a package sent by a certain shipping method may have a combined length and girth of no more than 96 in. Find the dimensions of a cylindrical package with the greatest volume that may be sent by this shipping method. Hint: The length plus the girth is 2πr + l. (Round your answers to three decimal places.)

Question
Asked Oct 18, 2019
57 views

Postal regulations specify that a package sent by a certain shipping method may have a combined length and girth of no more than 96 in. Find the dimensions of a cylindrical package with the greatest volume that may be sent by this shipping method. Hint: The length plus the girth is 2πr + l. (Round your answers to three decimal places.)

check_circle

Expert Answer

star
star
star
star
star
1 Rating
Step 1

Given, combined length and girth of no more than 96 in.

Assume, the length of cylindrical package is l and radius is r.

The combined length and girth is given by

help_outline

Image Transcriptionclose

277r

fullscreen
Step 2

According to question,

help_outline

Image Transcriptionclose

277r 96 l-96 27r ...1)

fullscreen
Step 3

Volume of cylindrical pa...

help_outline

Image Transcriptionclose

V = Tr°l -(2)

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus