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

• chocolatelover
In summary, the conversation discusses the calculation of density for a standard 1kg weight that is shaped like a cylinder with given dimensions. The attempted solution involves finding the volume of the cylinder and using it to calculate the density. However, the calculation is incorrect due to a missing factor of pi. Pi is the ratio of a circle's circumference to its diameter and is approximately equal to 3.14.
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

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

## 1. What is the formula for calculating density?

The formula for calculating density is density = mass/volume. In this case, we will use a standard 1kg weight, so the mass will be 1kg.

## 2. What is the volume of a standard 1kg weight?

The volume of a standard 1kg weight is determined by its dimensions. The most common shape for a standard 1kg weight is a cube with sides measuring 10cm. This gives a volume of 1000cm3.

## 3. How do I measure the mass of a standard 1kg weight?

You can measure the mass of a standard 1kg weight using a scale. Make sure the scale is calibrated correctly and place the weight on the scale to get an accurate measurement of 1kg.

## 4. How do I measure the volume of a standard 1kg weight?

The volume of a standard 1kg weight can be measured by using a ruler to measure the dimensions of the weight. As mentioned before, the most common shape is a cube with sides measuring 10cm. You can also use a displacement method by placing the weight in a graduated cylinder filled with water and measuring the change in water level.

## 5. What is the standard unit for density?

The standard unit for density is kg/m3 (kilograms per cubic meter). However, for smaller objects like the standard 1kg weight, cm3 (cubic centimeters) is often used.

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