Calculate the length of the thread -

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Homework Help Overview

The problem involves calculating the total length of string in a spherical ball with a specified radius and diameter of the string. The context is geometric volume calculations and estimation techniques.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the volume of the sphere and then uses the volume of a cylinder to find the height of the string. Some participants question the correctness of this approach and seek clarification on the concept of "factor of ten."

Discussion Status

The discussion includes attempts to clarify the concept of order of magnitude and factors of ten. Some participants express understanding of the approach while others seek further elaboration on the terminology used in the problem statement.

Contextual Notes

Participants note that the problem asks for an estimate rather than an exact answer, indicating a focus on understanding the scale of the solution rather than precise calculations.

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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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