SlideShare a Scribd company logo
Prawo Archimedesa

                          Czyli jak zmierzyć objętość obiektu,
     mając tylko naczynie z wodą o określonych wymiarach :)
Będziemy potrzebowali :




    Menzurkę bądź                     Odważnik o nieznanej objętości
pojemnik o regularnym   Trochę wody    mieszczący się w menzurce
      kształcie
Krok 1. = V                     ¹


   Wlewamy wodę do menzurki i
    odczytujemy jej objętość z miarki
   W przypadku braku miarki na menzurce
    wyliczamy objętość ze wzoru :
V = π * r² * h


      Gdzie:

                 π = liczba pi równa w przybliżeniu 3,14

                              r = promień podstawy menzurki ( naczynka )

                      h = wysokość menzurki ( naczynka )
Krok 2. = V²
   Zanurzamy całkowicie obiekt w wodzie i
    odczytujemy objętość na miarce
   W przypadku braku miarki wyliczamy
    objętość jak w punkcie 1.
Krok 3 = V      przedmiotu



   Od objętości wyczytanej ( wyliczonej ) z
    ciałem w wodzie odejmujemy objętość
    początkową samej wody w naczyniu

                  V¹ - V²
Tym sposobem obliczyliśmy
objętość przedmiotu tylko dzięki
    pojemnikowi o znanych
    wymiarach oraz wodzie
Przykładowe wyliczenie V przedmiotu
 Wysokość naczynia = 20cm
 Promień podstawy = 4cm
 Wysokość wody w naczyniu = 10 cm
 Wysokość wody w naczyniu z zanurzonym przedmiotem = 15cm



Objętość wody w naczyniu
= π * 4² * 10cm = π * 16cm * 10cm = 160 π cm³

Objętość wody w naczyniu z zanurzonym przedmiotem
= π * 4² * 15cm = π * 16cm * 15cm = 240 π cm³

Objętość samego przedmiotu
= 240 π cm³ - 160 π cm³ = 80π cm³

More Related Content

Featured

Skeleton Culture Code
Skeleton Culture CodeSkeleton Culture Code
Skeleton Culture Code
Skeleton Technologies
 
PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024
Neil Kimberley
 
Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)
contently
 
How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024
Albert Qian
 
Social Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie InsightsSocial Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie Insights
Kurio // The Social Media Age(ncy)
 
Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024
Search Engine Journal
 
5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary
SpeakerHub
 
ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd
Clark Boyd
 
Getting into the tech field. what next
Getting into the tech field. what next Getting into the tech field. what next
Getting into the tech field. what next
Tessa Mero
 
Google's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search IntentGoogle's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search Intent
Lily Ray
 
How to have difficult conversations
How to have difficult conversations How to have difficult conversations
How to have difficult conversations
Rajiv Jayarajah, MAppComm, ACC
 
Introduction to Data Science
Introduction to Data ScienceIntroduction to Data Science
Introduction to Data Science
Christy Abraham Joy
 
Time Management & Productivity - Best Practices
Time Management & Productivity -  Best PracticesTime Management & Productivity -  Best Practices
Time Management & Productivity - Best Practices
Vit Horky
 
The six step guide to practical project management
The six step guide to practical project managementThe six step guide to practical project management
The six step guide to practical project management
MindGenius
 
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
RachelPearson36
 
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
Applitools
 
12 Ways to Increase Your Influence at Work
12 Ways to Increase Your Influence at Work12 Ways to Increase Your Influence at Work
12 Ways to Increase Your Influence at Work
GetSmarter
 
ChatGPT webinar slides
ChatGPT webinar slidesChatGPT webinar slides
ChatGPT webinar slides
Alireza Esmikhani
 
More than Just Lines on a Map: Best Practices for U.S Bike Routes
More than Just Lines on a Map: Best Practices for U.S Bike RoutesMore than Just Lines on a Map: Best Practices for U.S Bike Routes
More than Just Lines on a Map: Best Practices for U.S Bike Routes
Project for Public Spaces & National Center for Biking and Walking
 
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
DevGAMM Conference
 

Featured (20)

Skeleton Culture Code
Skeleton Culture CodeSkeleton Culture Code
Skeleton Culture Code
 
PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024
 
Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)
 
How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024
 
Social Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie InsightsSocial Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie Insights
 
Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024
 
5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary
 
ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd
 
Getting into the tech field. what next
Getting into the tech field. what next Getting into the tech field. what next
Getting into the tech field. what next
 
Google's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search IntentGoogle's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search Intent
 
How to have difficult conversations
How to have difficult conversations How to have difficult conversations
How to have difficult conversations
 
Introduction to Data Science
Introduction to Data ScienceIntroduction to Data Science
Introduction to Data Science
 
Time Management & Productivity - Best Practices
Time Management & Productivity -  Best PracticesTime Management & Productivity -  Best Practices
Time Management & Productivity - Best Practices
 
The six step guide to practical project management
The six step guide to practical project managementThe six step guide to practical project management
The six step guide to practical project management
 
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
 
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
 
12 Ways to Increase Your Influence at Work
12 Ways to Increase Your Influence at Work12 Ways to Increase Your Influence at Work
12 Ways to Increase Your Influence at Work
 
ChatGPT webinar slides
ChatGPT webinar slidesChatGPT webinar slides
ChatGPT webinar slides
 
More than Just Lines on a Map: Best Practices for U.S Bike Routes
More than Just Lines on a Map: Best Practices for U.S Bike RoutesMore than Just Lines on a Map: Best Practices for U.S Bike Routes
More than Just Lines on a Map: Best Practices for U.S Bike Routes
 
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
 

Prawo wyporu modyfikacja

  • 1. Prawo Archimedesa Czyli jak zmierzyć objętość obiektu, mając tylko naczynie z wodą o określonych wymiarach :)
  • 2. Będziemy potrzebowali : Menzurkę bądź Odważnik o nieznanej objętości pojemnik o regularnym Trochę wody mieszczący się w menzurce kształcie
  • 3. Krok 1. = V ¹  Wlewamy wodę do menzurki i odczytujemy jej objętość z miarki  W przypadku braku miarki na menzurce wyliczamy objętość ze wzoru : V = π * r² * h Gdzie: π = liczba pi równa w przybliżeniu 3,14 r = promień podstawy menzurki ( naczynka ) h = wysokość menzurki ( naczynka )
  • 4. Krok 2. = V²  Zanurzamy całkowicie obiekt w wodzie i odczytujemy objętość na miarce  W przypadku braku miarki wyliczamy objętość jak w punkcie 1.
  • 5. Krok 3 = V przedmiotu  Od objętości wyczytanej ( wyliczonej ) z ciałem w wodzie odejmujemy objętość początkową samej wody w naczyniu V¹ - V²
  • 6. Tym sposobem obliczyliśmy objętość przedmiotu tylko dzięki pojemnikowi o znanych wymiarach oraz wodzie
  • 7. Przykładowe wyliczenie V przedmiotu Wysokość naczynia = 20cm Promień podstawy = 4cm Wysokość wody w naczyniu = 10 cm Wysokość wody w naczyniu z zanurzonym przedmiotem = 15cm Objętość wody w naczyniu = π * 4² * 10cm = π * 16cm * 10cm = 160 π cm³ Objętość wody w naczyniu z zanurzonym przedmiotem = π * 4² * 15cm = π * 16cm * 15cm = 240 π cm³ Objętość samego przedmiotu = 240 π cm³ - 160 π cm³ = 80π cm³