Volume using Archimedes Method

In summary, Archimedes Method for calculating volume is a mathematical technique that involves using the principle of displacement to determine the volume of an irregularly shaped object. It works by submerging the object in a known volume of water and measuring the amount of water displaced. The main advantage of this method is that it can be used for objects that cannot be measured using traditional methods, and it is relatively simple and accurate. However, it may not be suitable for all types of objects, particularly those with porous or absorbent surfaces. Archimedes Method has practical applications in manufacturing, construction, archaeology, oceanography, and the study of buoyancy and fluid mechanics.
  • #1
lc99
161
3

Homework Statement


upload_2018-2-5_16-30-5.png


Homework Equations


Volume of Sphere = 4/3 pi r^3

d = m/v

The Attempt at a Solution


my attempt is:

r = 2
Vsphere = 32/3 pi cm^3
density of mercury = 13.53 g/ml

d*v of sphere = 259.7grams

259.7 grams of sphere * (1/density of mercury) = 259.7g *( 1 ml / 13.53 g) = 19.2 ml submerged

Did i do this correctly?
 

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  • #2
Looks good to me.
 
  • #3
The only thing left is, you need to convert your 19.2 ml to cm3. That shouldn't take very long.
 
  • Like
Likes TSny
  • #4
tnich said:
That shouldn't take very long.
:woot:
 

1. What is Archimedes Method for calculating volume?

Archimedes Method for calculating volume is a mathematical technique developed by the ancient Greek mathematician and scientist Archimedes. It involves using the principle of displacement to determine the volume of an irregularly shaped object.

2. How does Archimedes Method work?

Archimedes Method works by submerging the irregularly shaped object in a known volume of water and measuring the amount of water displaced. The volume of the object is equal to the amount of water displaced.

3. What are the advantages of using Archimedes Method?

The main advantage of Archimedes Method is that it can be used to calculate the volume of irregularly shaped objects that cannot be measured using traditional methods such as length x width x height. It is also a relatively simple and accurate method.

4. Are there any limitations to using Archimedes Method?

While Archimedes Method is a useful tool for calculating volume, it is not suitable for all types of objects. It works best for objects that can be easily submerged in water and have a well-defined surface. Objects with porous or absorbent surfaces may not give accurate results.

5. How is Archimedes Method used in real life?

Archimedes Method has various practical applications, such as determining the volume of irregularly shaped objects for manufacturing or construction purposes. It is also used in the fields of archaeology and oceanography to calculate the volume of submerged artifacts or objects. Additionally, it is a crucial concept in the study of buoyancy and fluid mechanics.

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