Chapter PL, Problem 7P

BuyFind*arrow_forward*

4th Edition

James Stewart + 2 others

ISBN: 9781305071742

Textbook Problem

1 views

**Wrapping the World **A ribbon is tied tightly around the earth at the equator. How much more ribbon would you need if you raised the ribbon 1 ft above the equator everywhere? (You don’t know the radius of the earth to solve this problem.)

To determine

**To estimate:**

The additional length of the ribbon required

Explanation

Given that, the ribbon is tied tightly round the equator.

Considering the earth as a perfect sphere of radius *r*, the circumference of the earth is given by

Therefore, the length of the ribbon *ft*.

(i.e.) *ft.*

Also, given that the ribbon is raised 1ft above the equator everywhere.

Which implies that the new radius required for the earth to fit the ribbon is

Hence, the new circumference of the earth is given by

Therefore, the length of the ribbon *ft.*

(i.e.) *ft*