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

[chocolatelover]

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

 

[Mindscrape]

You are off by a factor of pi.

 

[chocolatelover]

Thank you very much

What is pi?

 

[awvvu]

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...

 

[chocolatelover]

Thank you very much

Regards

 

[Mindscrape]

What is pi?

Uhhh... joke?

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

 

[chocolatelover]

Thank you very much