Calculating Density of a Standard 1kg Weight: Step-by-Step Guide

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Homework Help Overview

The problem involves calculating the density of a standard 1kg weight, which is described as a cylinder with specific dimensions. The original poster presents their calculations for density based on the formula density equals mass divided by volume, and they attempt to compute the volume of the cylinder using its height and diameter.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the volume of the cylinder and subsequently the density. Some participants question the accuracy of the volume calculation, specifically noting a missing factor of pi. There are also inquiries about the definition of pi, indicating a conceptual clarification is sought.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the volume calculation and the definition of pi. Guidance has been offered regarding the correct formula for the volume of a cylinder, but there is no explicit consensus on the correctness of the original poster's calculations.

Contextual Notes

Participants are discussing the implications of using the correct formula for the volume of a cylinder, which includes the factor of pi, and there are indications of some confusion regarding basic mathematical concepts.

chocolatelover
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Hi everyone,

Homework Statement



A standard 1kg weight is a cylinder 50.0 mm in height and 51.5 mm in diameter. What is the density?

Homework Equations



density=mass/volume
volume of a cylinder=hr^2

The Attempt at a Solution



v=(50.0m)(51.5m/2)^2
=33153.125
=3.32 x 10^4 mm^3

density=1kg/3.32 X 10^4mm^3
=3012.048193
=3.01X10^3

Could someone please tell me if this is correct?

Thank you very much
 
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You are off by a factor of pi.
 
Thank you very much

What is pi?
 
The volume of a cylinder is the area of a circle times the height of the cylinder.

You seem to be asking a lot of questions here lately...
 
Thank you very much

Regards
 
chocolatelover said:
What is pi?

Uhhh... joke?

It's the ratio of the circumference of a circle to its diameter. pi = C/d ~ 3.141592...
 
Thank you very much
 

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