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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem
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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 2πr.

Therefore, the length of the ribbon R1 is given by 2πrft.

(i.e.) R1=2πrft.

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 r+1.

Hence, the new circumference of the earth is given by 2π(r+1).

Therefore, the length of the ribbon R2 is given by 2π(r+1)ft.

(i.e.) R2=2π(r+1)ft

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