Measure the diameter of a marble with a micrometer

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Homework Help Overview

The discussion revolves around measuring the diameter of a marble using a micrometer and calculating its volume. The original poster mentions a formula for volume and seeks clarification on a practical detail for improving measurement accuracy.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the accuracy of the volume formula provided, with one suggesting the correct formula for the volume of a sphere. There are suggestions to use a digital micrometer and to take multiple diameter readings at different points on the marble to improve accuracy.

Discussion Status

The discussion includes various suggestions for improving measurement accuracy, such as taking multiple readings and measuring in different directions. Participants are confirming their understanding and approaches without reaching a consensus on a single method.

Contextual Notes

There is some confusion regarding the formula for volume, and participants are questioning the assumptions made about measurement techniques. The original poster is also seeking clarification on what constitutes a practical detail for accuracy.

Jadaav
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I got to measure the diameter of a marble with a micrometer. Whatever the diameter and the radius be, it doesn't matter here and calculate the volume of the marble
I was told to use the formula " V = Square root of (4/3 * 22.7 * rcube)".

Then the last question was asked:

"Give 1 practical detail that you did to get a more accurate result."

What does 1 practical detail means here ?
 
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Well your equation for the volume of a sphere is wrong.

Volume = ( 4/3 * Pi * r3 )

Well you could use a digital micrometer with a more accurate display.
You could use the value of Pi to more decimal places.

However, the most important one would be to take multiple readings for the diameter at different points of the marbles and then take an average of these readings to get the average diameter of the sphere. Then using this average value you can get a better approximation of the volume.
 


Well, thanks a lot.

I used the formula that you mentioned, I just couldn't write it on my first post.

"However, the most important one would be to take multiple readings for the diameter at different points of the marbles and then take an average of these readings to get the average diameter of the sphere. Then using this average value you can get a better approximation of the volume."

That's what I did, just wanted to confirm it.
 


I don't know if you did it this way, but it would have been good to measure the diameter along different directions across the marble. (As opposed to repeating the measurement always using the same two points.)

This figure sort of shows what I am talking about:

circle_diameter.gif
 


Redbelly98 said:
I don't know if you did it this way, but it would have been good to measure the diameter along different directions across the marble. (As opposed to repeating the measurement always using the same two points.)

Yeah, I think that's how he did it. That's what I was aiming for anyway.
 


Redbelly98 said:
I don't know if you did it this way, but it would have been good to measure the diameter along different directions across the marble. (As opposed to repeating the measurement always using the same two points.)

This figure sort of shows what I am talking about:

circle_diameter.gif

That's what I did and thanks.
 

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