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NIH3D

3 models to demonstrate Archimedes Principle

Created by
irbeaudo
Created:
10/31/19
Submitted:
3/6/23
Published:
3/6/23

Select an image below to view

3DPX-012310

Licensing:

CC-BY
204
1
Version 2

Category

Hardware & Devices
Devices and Hardware
Description

Archimedes Principle demonstrates volume. It shows that different shapes can all have the same volume. The way it does this is you put them in water and see how much water the object displaces.

The way I chose to create my objects is I used 2 of the same shapes and cut one out of the other. The inner shape is the one used in volume calculations and then I made the walls of the objects 6mm thick.

**Dimensions mentioned below are all for the inner shape

I created 3 models to demonstrate Archimedes Principle, a cube, a hemisphere, and a cone. I started with the cube and chose 77mm by 77mm by 77mm for the dimensions, which ends up having a volume of 456,533 mm^3. To find the dimensions for my cone I set that volume equal to 1/3*pi*r^2*h and chose a value of 60 mm for the radius and ended with a height of 121 mm. Then to get the dimensions of the hemisphere I set that same volume equal to 2/3*pi*r^3 and got a radius of 60.5mm.

The volumes will differ slightly as for the cone and hemisphere I rounded up or down a little (no more than 1mm) to get nice numbers.