際際滷

際際滷Share a Scribd company logo
3D OBJECT ROTATION
Module 11 Lesson 2
PICTURE IT
 With this lesson make sure you can visualize what the question is asking. Draw
a picture or search images on the Internet
THE TOUGH QUESTION
 The following is the most missed question in M11 L2. The content is the same
but the number is changed.
 A square with an area of 100cm^2 is rotated to form a cylinder. Find the
volume.
 Hint: Visualize it.
SEE IF THE PICTURE HELPS
 Here is what the word problem is talking about.
The dotted line is
the line of rotation,
the square is going
to rotate around
its side.
The square creates a
cylinder that has the
radius equal to the
length of one side of the
square and the height of
the cylinder is equal to
one side of the square
HOW TO SOLVE IT
 Since the area of the square is 100cm^2, that means each side of the square
is 10
 According to the picture, the radius of the cylinder is 10 and the height of
the cylinder is 10.
 V=Ah (capital A means area of the base)
 V=2

 V= (10^2)(10)
 V=3142cm^3

More Related Content

Similar to 3D object rotation (17)

PPT - Surface Areas and Volumes Class 9 .pdf
PPT - Surface Areas and Volumes Class 9 .pdfPPT - Surface Areas and Volumes Class 9 .pdf
PPT - Surface Areas and Volumes Class 9 .pdf
Sriram
Eg1 n
Eg1 nEg1 n
Eg1 n
Parth Sahu
CIRCLE geometry lesson 2nd quarter grade 10
CIRCLE geometry lesson 2nd quarter  grade 10CIRCLE geometry lesson 2nd quarter  grade 10
CIRCLE geometry lesson 2nd quarter grade 10
RicFernandez4
Surface Area Of Cube and rectangular prism MATH 6 Q3 WEEK 10 DAY 1.ppt
Surface Area Of Cube and rectangular prism MATH 6 Q3 WEEK 10 DAY 1.pptSurface Area Of Cube and rectangular prism MATH 6 Q3 WEEK 10 DAY 1.ppt
Surface Area Of Cube and rectangular prism MATH 6 Q3 WEEK 10 DAY 1.ppt
MunaireTan
Topic 24 further volume and surface area
Topic 24 further volume and surface areaTopic 24 further volume and surface area
Topic 24 further volume and surface area
sidraqasim99
Third Quarter COT in Math-Circumference of Circle.pptx
Third Quarter COT in Math-Circumference of Circle.pptxThird Quarter COT in Math-Circumference of Circle.pptx
Third Quarter COT in Math-Circumference of Circle.pptx
marjoriecostelo029
Chapter 2.2
Chapter 2.2Chapter 2.2
Chapter 2.2
Ismaya Gharini
Area of circle discovery ppt shortened
Area of circle discovery ppt   shortenedArea of circle discovery ppt   shortened
Area of circle discovery ppt shortened
Cassie Rice
G5Q4-WEEK-2-MATH-PPT.pptx
G5Q4-WEEK-2-MATH-PPT.pptxG5Q4-WEEK-2-MATH-PPT.pptx
G5Q4-WEEK-2-MATH-PPT.pptx
MaryDethDoca
Perimeter
PerimeterPerimeter
Perimeter
A.I.K.C. COLLEGE OF EDUCATION
Perimeter
PerimeterPerimeter
Perimeter
A.I.K.C. COLLEGE OF EDUCATION
Final project part a
Final project part aFinal project part a
Final project part a
shensin1015
Designing art based math activities convert decimal into fraction and vice ...
Designing art based math activities   convert decimal into fraction and vice ...Designing art based math activities   convert decimal into fraction and vice ...
Designing art based math activities convert decimal into fraction and vice ...
Pooja M
Area sector
Area sectorArea sector
Area sector
SOLEDADVILLANUEVA4
2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume...
2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume...2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume...
2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume...
JamaicaLalaguna
CLASS IX MATHS PPT
CLASS IX MATHS PPTCLASS IX MATHS PPT
CLASS IX MATHS PPT
Rc Os
Volume and surface area
Volume and surface area Volume and surface area
Volume and surface area
tylerj251201
PPT - Surface Areas and Volumes Class 9 .pdf
PPT - Surface Areas and Volumes Class 9 .pdfPPT - Surface Areas and Volumes Class 9 .pdf
PPT - Surface Areas and Volumes Class 9 .pdf
Sriram
CIRCLE geometry lesson 2nd quarter grade 10
CIRCLE geometry lesson 2nd quarter  grade 10CIRCLE geometry lesson 2nd quarter  grade 10
CIRCLE geometry lesson 2nd quarter grade 10
RicFernandez4
Surface Area Of Cube and rectangular prism MATH 6 Q3 WEEK 10 DAY 1.ppt
Surface Area Of Cube and rectangular prism MATH 6 Q3 WEEK 10 DAY 1.pptSurface Area Of Cube and rectangular prism MATH 6 Q3 WEEK 10 DAY 1.ppt
Surface Area Of Cube and rectangular prism MATH 6 Q3 WEEK 10 DAY 1.ppt
MunaireTan
Topic 24 further volume and surface area
Topic 24 further volume and surface areaTopic 24 further volume and surface area
Topic 24 further volume and surface area
sidraqasim99
Third Quarter COT in Math-Circumference of Circle.pptx
Third Quarter COT in Math-Circumference of Circle.pptxThird Quarter COT in Math-Circumference of Circle.pptx
Third Quarter COT in Math-Circumference of Circle.pptx
marjoriecostelo029
Area of circle discovery ppt shortened
Area of circle discovery ppt   shortenedArea of circle discovery ppt   shortened
Area of circle discovery ppt shortened
Cassie Rice
G5Q4-WEEK-2-MATH-PPT.pptx
G5Q4-WEEK-2-MATH-PPT.pptxG5Q4-WEEK-2-MATH-PPT.pptx
G5Q4-WEEK-2-MATH-PPT.pptx
MaryDethDoca
Final project part a
Final project part aFinal project part a
Final project part a
shensin1015
Designing art based math activities convert decimal into fraction and vice ...
Designing art based math activities   convert decimal into fraction and vice ...Designing art based math activities   convert decimal into fraction and vice ...
Designing art based math activities convert decimal into fraction and vice ...
Pooja M
2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume...
2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume...2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume...
2D & 3D Shapes differentiation with Perimeter, Area, Surface Area, and Volume...
JamaicaLalaguna
CLASS IX MATHS PPT
CLASS IX MATHS PPTCLASS IX MATHS PPT
CLASS IX MATHS PPT
Rc Os
Volume and surface area
Volume and surface area Volume and surface area
Volume and surface area
tylerj251201

More from candicef (20)

Degree of poly
Degree of polyDegree of poly
Degree of poly
candicef
Numbers in a series
Numbers in a seriesNumbers in a series
Numbers in a series
candicef
Function word problems
Function word problemsFunction word problems
Function word problems
candicef
Which method is best
Which method is bestWhich method is best
Which method is best
candicef
Exponential equations
Exponential equationsExponential equations
Exponential equations
candicef
Factoring trinomials with gcfs
Factoring trinomials with gcfsFactoring trinomials with gcfs
Factoring trinomials with gcfs
candicef
Elimination
EliminationElimination
Elimination
candicef
Substitution
SubstitutionSubstitution
Substitution
candicef
Parallel lines
Parallel linesParallel lines
Parallel lines
candicef
Literal equations
Literal equationsLiteral equations
Literal equations
candicef
Solving Equations in a Word Problem
Solving Equations in a Word ProblemSolving Equations in a Word Problem
Solving Equations in a Word Problem
candicef
Combining like terms
Combining like termsCombining like terms
Combining like terms
candicef
Similar polygons
Similar polygonsSimilar polygons
Similar polygons
candicef
Difference of squares
Difference of squaresDifference of squares
Difference of squares
candicef
Graphing rational equations
Graphing rational equationsGraphing rational equations
Graphing rational equations
candicef
45 45 90
45 45 9045 45 90
45 45 90
candicef
M5 l3
M5 l3M5 l3
M5 l3
candicef
M3 l4
M3 l4M3 l4
M3 l4
candicef
M3 l1
M3 l1M3 l1
M3 l1
candicef
Db2
Db2Db2
Db2
candicef
Degree of poly
Degree of polyDegree of poly
Degree of poly
candicef
Numbers in a series
Numbers in a seriesNumbers in a series
Numbers in a series
candicef
Function word problems
Function word problemsFunction word problems
Function word problems
candicef
Which method is best
Which method is bestWhich method is best
Which method is best
candicef
Exponential equations
Exponential equationsExponential equations
Exponential equations
candicef
Factoring trinomials with gcfs
Factoring trinomials with gcfsFactoring trinomials with gcfs
Factoring trinomials with gcfs
candicef
Elimination
EliminationElimination
Elimination
candicef
Substitution
SubstitutionSubstitution
Substitution
candicef
Parallel lines
Parallel linesParallel lines
Parallel lines
candicef
Literal equations
Literal equationsLiteral equations
Literal equations
candicef
Solving Equations in a Word Problem
Solving Equations in a Word ProblemSolving Equations in a Word Problem
Solving Equations in a Word Problem
candicef
Combining like terms
Combining like termsCombining like terms
Combining like terms
candicef
Similar polygons
Similar polygonsSimilar polygons
Similar polygons
candicef
Difference of squares
Difference of squaresDifference of squares
Difference of squares
candicef
Graphing rational equations
Graphing rational equationsGraphing rational equations
Graphing rational equations
candicef
45 45 90
45 45 9045 45 90
45 45 90
candicef

Recently uploaded (20)

Yale VMOC Special Report - Measles Outbreak Southwest US 3-30-2025 FINAL v2...
Yale VMOC Special Report - Measles Outbreak  Southwest US 3-30-2025  FINAL v2...Yale VMOC Special Report - Measles Outbreak  Southwest US 3-30-2025  FINAL v2...
Yale VMOC Special Report - Measles Outbreak Southwest US 3-30-2025 FINAL v2...
Yale School of Public Health - The Virtual Medical Operations Center (VMOC)
The basics of sentences session 9pptx.pptx
The basics of sentences session 9pptx.pptxThe basics of sentences session 9pptx.pptx
The basics of sentences session 9pptx.pptx
heathfieldcps1
Unit1 Inroduction to Internal Combustion Engines
Unit1  Inroduction to Internal Combustion EnginesUnit1  Inroduction to Internal Combustion Engines
Unit1 Inroduction to Internal Combustion Engines
NileshKumbhar21
UTI Quinolones by Mrs. Manjushri Dabhade
UTI Quinolones by Mrs. Manjushri DabhadeUTI Quinolones by Mrs. Manjushri Dabhade
UTI Quinolones by Mrs. Manjushri Dabhade
Dabhade madam Dabhade
20250402 ACCA TeamScienceAIEra 20250402 v10.pptx
20250402 ACCA TeamScienceAIEra 20250402 v10.pptx20250402 ACCA TeamScienceAIEra 20250402 v10.pptx
20250402 ACCA TeamScienceAIEra 20250402 v10.pptx
home
Tollywood Quiz- 21st March 2025, Quiz Club NITW
Tollywood Quiz- 21st March 2025, Quiz Club NITWTollywood Quiz- 21st March 2025, Quiz Club NITW
Tollywood Quiz- 21st March 2025, Quiz Club NITW
Quiz Club NITW
Anti-Viral Agents.pptx Medicinal Chemistry III, B Pharm SEM VI
Anti-Viral Agents.pptx Medicinal Chemistry III, B Pharm SEM VIAnti-Viral Agents.pptx Medicinal Chemistry III, B Pharm SEM VI
Anti-Viral Agents.pptx Medicinal Chemistry III, B Pharm SEM VI
Samruddhi Khonde
Unit 3: Combustion in Spark Ignition Engines
Unit 3: Combustion in Spark Ignition EnginesUnit 3: Combustion in Spark Ignition Engines
Unit 3: Combustion in Spark Ignition Engines
NileshKumbhar21
Marketing is Everything in the Beauty Business! 憓 Talent gets you in the ...
 Marketing is Everything in the Beauty Business! 憓 Talent gets you in the ... Marketing is Everything in the Beauty Business! 憓 Talent gets you in the ...
Marketing is Everything in the Beauty Business! 憓 Talent gets you in the ...
coreylewis960
MIPLM subject matter expert Sascha Kamhuber
MIPLM subject matter expert Sascha KamhuberMIPLM subject matter expert Sascha Kamhuber
MIPLM subject matter expert Sascha Kamhuber
MIPLM
Design approaches and ethical challenges in Artificial Intelligence tools for...
Design approaches and ethical challenges in Artificial Intelligence tools for...Design approaches and ethical challenges in Artificial Intelligence tools for...
Design approaches and ethical challenges in Artificial Intelligence tools for...
Yannis
Crafting Winning STEM & Science Grant Proposals
Crafting Winning STEM & Science Grant ProposalsCrafting Winning STEM & Science Grant Proposals
Crafting Winning STEM & Science Grant Proposals
Kevin Welch
Role of Teacher in the era of Generative AI
Role of Teacher in the era of Generative AIRole of Teacher in the era of Generative AI
Role of Teacher in the era of Generative AI
Prof. Neeta Awasthy
Week 6 - EDL 290F - No Drop Ride (2025).pdf
Week 6 - EDL 290F - No Drop Ride (2025).pdfWeek 6 - EDL 290F - No Drop Ride (2025).pdf
Week 6 - EDL 290F - No Drop Ride (2025).pdf
Liz Walsh-Trevino
Antifungal agents by Mrs. Manjushri Dabhade
Antifungal agents by Mrs. Manjushri DabhadeAntifungal agents by Mrs. Manjushri Dabhade
Antifungal agents by Mrs. Manjushri Dabhade
Dabhade madam Dabhade
Studying and Notetaking: Some Suggestions
Studying and Notetaking: Some SuggestionsStudying and Notetaking: Some Suggestions
Studying and Notetaking: Some Suggestions
Damian T. Gordon
Celine Caira presents at Women girls and AI Paving the way to a balanced digi...
Celine Caira presents at Women girls and AI Paving the way to a balanced digi...Celine Caira presents at Women girls and AI Paving the way to a balanced digi...
Celine Caira presents at Women girls and AI Paving the way to a balanced digi...
EduSkills OECD
Personal Brand exploration powerpoint pp1
Personal Brand exploration powerpoint pp1Personal Brand exploration powerpoint pp1
Personal Brand exploration powerpoint pp1
rayvoisine3
EDL 290F Week 4 - Group Ride (2025).pdf
EDL 290F Week 4  - Group Ride (2025).pdfEDL 290F Week 4  - Group Ride (2025).pdf
EDL 290F Week 4 - Group Ride (2025).pdf
Liz Walsh-Trevino
COMMON HEALTH PROBLEMS INCLUDING COMMUNICABLES AND NON COMMUNICABLE DISEASES
COMMON HEALTH PROBLEMS INCLUDING COMMUNICABLES AND NON COMMUNICABLE DISEASESCOMMON HEALTH PROBLEMS INCLUDING COMMUNICABLES AND NON COMMUNICABLE DISEASES
COMMON HEALTH PROBLEMS INCLUDING COMMUNICABLES AND NON COMMUNICABLE DISEASES
SonaliGupta630281
The basics of sentences session 9pptx.pptx
The basics of sentences session 9pptx.pptxThe basics of sentences session 9pptx.pptx
The basics of sentences session 9pptx.pptx
heathfieldcps1
Unit1 Inroduction to Internal Combustion Engines
Unit1  Inroduction to Internal Combustion EnginesUnit1  Inroduction to Internal Combustion Engines
Unit1 Inroduction to Internal Combustion Engines
NileshKumbhar21
UTI Quinolones by Mrs. Manjushri Dabhade
UTI Quinolones by Mrs. Manjushri DabhadeUTI Quinolones by Mrs. Manjushri Dabhade
UTI Quinolones by Mrs. Manjushri Dabhade
Dabhade madam Dabhade
20250402 ACCA TeamScienceAIEra 20250402 v10.pptx
20250402 ACCA TeamScienceAIEra 20250402 v10.pptx20250402 ACCA TeamScienceAIEra 20250402 v10.pptx
20250402 ACCA TeamScienceAIEra 20250402 v10.pptx
home
Tollywood Quiz- 21st March 2025, Quiz Club NITW
Tollywood Quiz- 21st March 2025, Quiz Club NITWTollywood Quiz- 21st March 2025, Quiz Club NITW
Tollywood Quiz- 21st March 2025, Quiz Club NITW
Quiz Club NITW
Anti-Viral Agents.pptx Medicinal Chemistry III, B Pharm SEM VI
Anti-Viral Agents.pptx Medicinal Chemistry III, B Pharm SEM VIAnti-Viral Agents.pptx Medicinal Chemistry III, B Pharm SEM VI
Anti-Viral Agents.pptx Medicinal Chemistry III, B Pharm SEM VI
Samruddhi Khonde
Unit 3: Combustion in Spark Ignition Engines
Unit 3: Combustion in Spark Ignition EnginesUnit 3: Combustion in Spark Ignition Engines
Unit 3: Combustion in Spark Ignition Engines
NileshKumbhar21
Marketing is Everything in the Beauty Business! 憓 Talent gets you in the ...
 Marketing is Everything in the Beauty Business! 憓 Talent gets you in the ... Marketing is Everything in the Beauty Business! 憓 Talent gets you in the ...
Marketing is Everything in the Beauty Business! 憓 Talent gets you in the ...
coreylewis960
MIPLM subject matter expert Sascha Kamhuber
MIPLM subject matter expert Sascha KamhuberMIPLM subject matter expert Sascha Kamhuber
MIPLM subject matter expert Sascha Kamhuber
MIPLM
Design approaches and ethical challenges in Artificial Intelligence tools for...
Design approaches and ethical challenges in Artificial Intelligence tools for...Design approaches and ethical challenges in Artificial Intelligence tools for...
Design approaches and ethical challenges in Artificial Intelligence tools for...
Yannis
Crafting Winning STEM & Science Grant Proposals
Crafting Winning STEM & Science Grant ProposalsCrafting Winning STEM & Science Grant Proposals
Crafting Winning STEM & Science Grant Proposals
Kevin Welch
Role of Teacher in the era of Generative AI
Role of Teacher in the era of Generative AIRole of Teacher in the era of Generative AI
Role of Teacher in the era of Generative AI
Prof. Neeta Awasthy
Week 6 - EDL 290F - No Drop Ride (2025).pdf
Week 6 - EDL 290F - No Drop Ride (2025).pdfWeek 6 - EDL 290F - No Drop Ride (2025).pdf
Week 6 - EDL 290F - No Drop Ride (2025).pdf
Liz Walsh-Trevino
Antifungal agents by Mrs. Manjushri Dabhade
Antifungal agents by Mrs. Manjushri DabhadeAntifungal agents by Mrs. Manjushri Dabhade
Antifungal agents by Mrs. Manjushri Dabhade
Dabhade madam Dabhade
Studying and Notetaking: Some Suggestions
Studying and Notetaking: Some SuggestionsStudying and Notetaking: Some Suggestions
Studying and Notetaking: Some Suggestions
Damian T. Gordon
Celine Caira presents at Women girls and AI Paving the way to a balanced digi...
Celine Caira presents at Women girls and AI Paving the way to a balanced digi...Celine Caira presents at Women girls and AI Paving the way to a balanced digi...
Celine Caira presents at Women girls and AI Paving the way to a balanced digi...
EduSkills OECD
Personal Brand exploration powerpoint pp1
Personal Brand exploration powerpoint pp1Personal Brand exploration powerpoint pp1
Personal Brand exploration powerpoint pp1
rayvoisine3
EDL 290F Week 4 - Group Ride (2025).pdf
EDL 290F Week 4  - Group Ride (2025).pdfEDL 290F Week 4  - Group Ride (2025).pdf
EDL 290F Week 4 - Group Ride (2025).pdf
Liz Walsh-Trevino
COMMON HEALTH PROBLEMS INCLUDING COMMUNICABLES AND NON COMMUNICABLE DISEASES
COMMON HEALTH PROBLEMS INCLUDING COMMUNICABLES AND NON COMMUNICABLE DISEASESCOMMON HEALTH PROBLEMS INCLUDING COMMUNICABLES AND NON COMMUNICABLE DISEASES
COMMON HEALTH PROBLEMS INCLUDING COMMUNICABLES AND NON COMMUNICABLE DISEASES
SonaliGupta630281

3D object rotation

  • 2. PICTURE IT With this lesson make sure you can visualize what the question is asking. Draw a picture or search images on the Internet
  • 3. THE TOUGH QUESTION The following is the most missed question in M11 L2. The content is the same but the number is changed. A square with an area of 100cm^2 is rotated to form a cylinder. Find the volume. Hint: Visualize it.
  • 4. SEE IF THE PICTURE HELPS Here is what the word problem is talking about. The dotted line is the line of rotation, the square is going to rotate around its side. The square creates a cylinder that has the radius equal to the length of one side of the square and the height of the cylinder is equal to one side of the square
  • 5. HOW TO SOLVE IT Since the area of the square is 100cm^2, that means each side of the square is 10 According to the picture, the radius of the cylinder is 10 and the height of the cylinder is 10. V=Ah (capital A means area of the base) V=2 V= (10^2)(10) V=3142cm^3