Calculate the length of the thread -

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To determine the total length of the string in the world's largest ball of string, the volume of the sphere was calculated using a 2-meter radius. The string was modeled as a cylinder to find its height, using the cylinder volume formula. The discussion clarified that the problem seeks an answer to the nearest order of magnitude, meaning an approximate value within a factor of ten is acceptable. Participants emphasized that being off by a factor of two or three is generally permissible in such calculations. Understanding the concept of "order of magnitude" is crucial for approaching similar problems.
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Homework Statement



The world’s largest ball of string is about 2 meter in radius. To the nearest order of magnitude, i.e.,
the power of ten, determine what is the total length of the 4mm diameter string in the ball?


Homework Equations





The Attempt at a Solution



I calculated the volume of the ball "(considering it to be a sphere), using 2m as radius - After getting the value, I assumed the thread to be a "cylinder" and used "Cylinder's volume formula" --- V=Pie x R(squared) x H and calculated H ..

Is that correct ?
 
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engboysclub said:
Is that correct ?

Sounds like a reasonable enough approach that should get you within a factor of ten.
 
Factor of ten ? What does it exactly means ?

We call it "Tenths, Hundredths, etc " - I have an idea, but please elaborate so I may not have confusion ever.
 
engboysclub said:
Factor of ten ? What does it exactly means ?

We call it "Tenths, Hundredths, etc " - I have an idea, but please elaborate so I may not have confusion ever.

From the original problem statement: "To the nearest order of magnitude, i.e.,
the power of ten", meaning that they are not asking for an exact answer, but rather one that gives you an idea about the magnitudes we're dealing with. Generally when a problem is stated that way, an answer that is off by a factor of two or three in either direction is acceptable.
 
Perfect ! Thanks a lot !
 
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