SlideShare a Scribd company logo
1 of 2
LINKS FOR VOLUME OF
KNOWN CROSS SECTION
AND AREA OF SURFACES
OF REVOLUTION
LINKS
• Link for area of surfaces of revolution
http://www.phengkimving.com/calc_of_one_
real_var/12_app_of_the_intgrl/12_07_areas_
of_surf_of_revltn.htm
• Link for volume of known cross section
http://www.youtube.com/watch?v=6-yKu-
bsN7I

More Related Content

Viewers also liked

Lesson 2 derivative of inverse trigonometric functions
Lesson 2 derivative of inverse trigonometric functionsLesson 2 derivative of inverse trigonometric functions
Lesson 2 derivative of inverse trigonometric functionsLawrence De Vera
 
Lesson 19 improper intergals
Lesson 19 improper intergalsLesson 19 improper intergals
Lesson 19 improper intergalsLawrence De Vera
 
Lesson 8: Basic Differentiation Rules (Section 21 slides)
Lesson 8: Basic Differentiation Rules (Section 21 slides)Lesson 8: Basic Differentiation Rules (Section 21 slides)
Lesson 8: Basic Differentiation Rules (Section 21 slides)Matthew Leingang
 
Derivatives and their Applications
Derivatives and their ApplicationsDerivatives and their Applications
Derivatives and their Applicationsusmancp2611
 
Power of Power Exponent Rule
Power of Power Exponent RulePower of Power Exponent Rule
Power of Power Exponent RulePassy World
 
Lesson 7 antidifferentiation generalized power formula-simple substitution
Lesson 7 antidifferentiation generalized power formula-simple substitutionLesson 7 antidifferentiation generalized power formula-simple substitution
Lesson 7 antidifferentiation generalized power formula-simple substitutionLawrence De Vera
 
Applied Calculus Chapter 3 partial derivatives
Applied Calculus Chapter  3 partial derivativesApplied Calculus Chapter  3 partial derivatives
Applied Calculus Chapter 3 partial derivativesJ C
 
The future of everything
The future of everythingThe future of everything
The future of everythingVera Kovaleva
 
Figure Drawing Examples
Figure Drawing ExamplesFigure Drawing Examples
Figure Drawing ExamplesFrank Curkovic
 
Lesson 13 volume of solids of revolution
Lesson 13 volume of solids of revolutionLesson 13 volume of solids of revolution
Lesson 13 volume of solids of revolutionLawrence De Vera
 
IMPROPER INTEGRAL
   IMPROPER INTEGRAL   IMPROPER INTEGRAL
IMPROPER INTEGRALkishan619
 

Viewers also liked (13)

Power Rule
Power RulePower Rule
Power Rule
 
Lesson 2 derivative of inverse trigonometric functions
Lesson 2 derivative of inverse trigonometric functionsLesson 2 derivative of inverse trigonometric functions
Lesson 2 derivative of inverse trigonometric functions
 
Lesson 19 improper intergals
Lesson 19 improper intergalsLesson 19 improper intergals
Lesson 19 improper intergals
 
Lesson 8: Basic Differentiation Rules (Section 21 slides)
Lesson 8: Basic Differentiation Rules (Section 21 slides)Lesson 8: Basic Differentiation Rules (Section 21 slides)
Lesson 8: Basic Differentiation Rules (Section 21 slides)
 
Derivatives and their Applications
Derivatives and their ApplicationsDerivatives and their Applications
Derivatives and their Applications
 
Power of Power Exponent Rule
Power of Power Exponent RulePower of Power Exponent Rule
Power of Power Exponent Rule
 
Lesson 7 antidifferentiation generalized power formula-simple substitution
Lesson 7 antidifferentiation generalized power formula-simple substitutionLesson 7 antidifferentiation generalized power formula-simple substitution
Lesson 7 antidifferentiation generalized power formula-simple substitution
 
Applied Calculus Chapter 3 partial derivatives
Applied Calculus Chapter  3 partial derivativesApplied Calculus Chapter  3 partial derivatives
Applied Calculus Chapter 3 partial derivatives
 
The future of everything
The future of everythingThe future of everything
The future of everything
 
Figure Drawing Examples
Figure Drawing ExamplesFigure Drawing Examples
Figure Drawing Examples
 
How To Draw An Eye
How To Draw An EyeHow To Draw An Eye
How To Draw An Eye
 
Lesson 13 volume of solids of revolution
Lesson 13 volume of solids of revolutionLesson 13 volume of solids of revolution
Lesson 13 volume of solids of revolution
 
IMPROPER INTEGRAL
   IMPROPER INTEGRAL   IMPROPER INTEGRAL
IMPROPER INTEGRAL
 

More from Lawrence De Vera

Lesson 18 force due to liquid pressure revised
Lesson 18 force due to liquid pressure revisedLesson 18 force due to liquid pressure revised
Lesson 18 force due to liquid pressure revisedLawrence De Vera
 
Lesson 17 work done by a spring and pump final (1)
Lesson 17 work done by a spring and pump final (1)Lesson 17 work done by a spring and pump final (1)
Lesson 17 work done by a spring and pump final (1)Lawrence De Vera
 
Lesson 16 length of an arc
Lesson 16 length of an arcLesson 16 length of an arc
Lesson 16 length of an arcLawrence De Vera
 
Lesson 14 centroid of volume
Lesson 14 centroid of volumeLesson 14 centroid of volume
Lesson 14 centroid of volumeLawrence De Vera
 
Lesson 12 centroid of an area
Lesson 12 centroid of an areaLesson 12 centroid of an area
Lesson 12 centroid of an areaLawrence De Vera
 
Lesson 11 plane areas area by integration
Lesson 11 plane areas area by integrationLesson 11 plane areas area by integration
Lesson 11 plane areas area by integrationLawrence De Vera
 
Lesson 8 the definite integrals
Lesson 8 the definite integralsLesson 8 the definite integrals
Lesson 8 the definite integralsLawrence De Vera
 
Lesson 6 differentials parametric-curvature
Lesson 6 differentials parametric-curvatureLesson 6 differentials parametric-curvature
Lesson 6 differentials parametric-curvatureLawrence De Vera
 
Lesson 5 indeterminate forms
Lesson 5 indeterminate formsLesson 5 indeterminate forms
Lesson 5 indeterminate formsLawrence De Vera
 
MIT Math Syllabus 10-3 Lesson 9: Ratio, proportion and variation
MIT Math Syllabus 10-3 Lesson 9: Ratio, proportion and variationMIT Math Syllabus 10-3 Lesson 9: Ratio, proportion and variation
MIT Math Syllabus 10-3 Lesson 9: Ratio, proportion and variationLawrence De Vera
 
MIT Math Syllabus 10-3 Lesson 8: Inequalities
MIT Math Syllabus 10-3 Lesson 8: InequalitiesMIT Math Syllabus 10-3 Lesson 8: Inequalities
MIT Math Syllabus 10-3 Lesson 8: InequalitiesLawrence De Vera
 
MIT Math Syllabus 10-3 Lesson 7: Quadratic equations
MIT Math Syllabus 10-3 Lesson 7: Quadratic equationsMIT Math Syllabus 10-3 Lesson 7: Quadratic equations
MIT Math Syllabus 10-3 Lesson 7: Quadratic equationsLawrence De Vera
 
MIT Math Syllabus 10-3 Lesson 6: Equations
MIT Math Syllabus 10-3 Lesson 6: EquationsMIT Math Syllabus 10-3 Lesson 6: Equations
MIT Math Syllabus 10-3 Lesson 6: EquationsLawrence De Vera
 
MIT Math Syllabus 10-3 Lesson 5: Complex numbers
MIT Math Syllabus 10-3 Lesson 5: Complex numbersMIT Math Syllabus 10-3 Lesson 5: Complex numbers
MIT Math Syllabus 10-3 Lesson 5: Complex numbersLawrence De Vera
 
MIT Math Syllabus 10-3 Lesson 4: Rational exponents and radicals
MIT Math Syllabus 10-3 Lesson 4: Rational exponents and radicalsMIT Math Syllabus 10-3 Lesson 4: Rational exponents and radicals
MIT Math Syllabus 10-3 Lesson 4: Rational exponents and radicalsLawrence De Vera
 

More from Lawrence De Vera (20)

Lesson 18 force due to liquid pressure revised
Lesson 18 force due to liquid pressure revisedLesson 18 force due to liquid pressure revised
Lesson 18 force due to liquid pressure revised
 
Lesson 17 work done by a spring and pump final (1)
Lesson 17 work done by a spring and pump final (1)Lesson 17 work done by a spring and pump final (1)
Lesson 17 work done by a spring and pump final (1)
 
Lesson 16 length of an arc
Lesson 16 length of an arcLesson 16 length of an arc
Lesson 16 length of an arc
 
Lesson 15 pappus theorem
Lesson 15 pappus theoremLesson 15 pappus theorem
Lesson 15 pappus theorem
 
Lesson 14 centroid of volume
Lesson 14 centroid of volumeLesson 14 centroid of volume
Lesson 14 centroid of volume
 
Lesson 12 centroid of an area
Lesson 12 centroid of an areaLesson 12 centroid of an area
Lesson 12 centroid of an area
 
Lesson 11 plane areas area by integration
Lesson 11 plane areas area by integrationLesson 11 plane areas area by integration
Lesson 11 plane areas area by integration
 
Lesson 8 the definite integrals
Lesson 8 the definite integralsLesson 8 the definite integrals
Lesson 8 the definite integrals
 
Lesson 6 differentials parametric-curvature
Lesson 6 differentials parametric-curvatureLesson 6 differentials parametric-curvature
Lesson 6 differentials parametric-curvature
 
Lesson 5 indeterminate forms
Lesson 5 indeterminate formsLesson 5 indeterminate forms
Lesson 5 indeterminate forms
 
Lecture co4 math21-1
Lecture co4 math21-1Lecture co4 math21-1
Lecture co4 math21-1
 
Lecture co3 math21-1
Lecture co3 math21-1Lecture co3 math21-1
Lecture co3 math21-1
 
Lecture co1 math 21-1
Lecture co1 math 21-1Lecture co1 math 21-1
Lecture co1 math 21-1
 
Lecture co2 math 21-1
Lecture co2 math 21-1 Lecture co2 math 21-1
Lecture co2 math 21-1
 
MIT Math Syllabus 10-3 Lesson 9: Ratio, proportion and variation
MIT Math Syllabus 10-3 Lesson 9: Ratio, proportion and variationMIT Math Syllabus 10-3 Lesson 9: Ratio, proportion and variation
MIT Math Syllabus 10-3 Lesson 9: Ratio, proportion and variation
 
MIT Math Syllabus 10-3 Lesson 8: Inequalities
MIT Math Syllabus 10-3 Lesson 8: InequalitiesMIT Math Syllabus 10-3 Lesson 8: Inequalities
MIT Math Syllabus 10-3 Lesson 8: Inequalities
 
MIT Math Syllabus 10-3 Lesson 7: Quadratic equations
MIT Math Syllabus 10-3 Lesson 7: Quadratic equationsMIT Math Syllabus 10-3 Lesson 7: Quadratic equations
MIT Math Syllabus 10-3 Lesson 7: Quadratic equations
 
MIT Math Syllabus 10-3 Lesson 6: Equations
MIT Math Syllabus 10-3 Lesson 6: EquationsMIT Math Syllabus 10-3 Lesson 6: Equations
MIT Math Syllabus 10-3 Lesson 6: Equations
 
MIT Math Syllabus 10-3 Lesson 5: Complex numbers
MIT Math Syllabus 10-3 Lesson 5: Complex numbersMIT Math Syllabus 10-3 Lesson 5: Complex numbers
MIT Math Syllabus 10-3 Lesson 5: Complex numbers
 
MIT Math Syllabus 10-3 Lesson 4: Rational exponents and radicals
MIT Math Syllabus 10-3 Lesson 4: Rational exponents and radicalsMIT Math Syllabus 10-3 Lesson 4: Rational exponents and radicals
MIT Math Syllabus 10-3 Lesson 4: Rational exponents and radicals
 

Recently uploaded

The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13Steve Thomason
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfsanyamsingh5019
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityGeoBlogs
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxSayali Powar
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxheathfieldcps1
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxGaneshChakor2
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdfSoniaTolstoy
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
Introduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher EducationIntroduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher Educationpboyjonauth
 
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...M56BOOKSTORE PRODUCT/SERVICE
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxpboyjonauth
 
How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxmanuelaromero2013
 
Alper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentAlper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentInMediaRes1
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxOH TEIK BIN
 
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17Celine George
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesFatimaKhan178732
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...EduSkills OECD
 
How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17Celine George
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformChameera Dedduwage
 

Recently uploaded (20)

The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdf
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activity
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptx
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
Introduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher EducationIntroduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher Education
 
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptx
 
How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptx
 
Alper Gobel In Media Res Media Component
Alper Gobel In Media Res Media ComponentAlper Gobel In Media Res Media Component
Alper Gobel In Media Res Media Component
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptx
 
Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Bikash Puri  Delhi reach out to us at 🔝9953056974🔝Model Call Girl in Bikash Puri  Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Bikash Puri Delhi reach out to us at 🔝9953056974🔝
 
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and Actinides
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy Reform
 

Links

  • 1. LINKS FOR VOLUME OF KNOWN CROSS SECTION AND AREA OF SURFACES OF REVOLUTION
  • 2. LINKS • Link for area of surfaces of revolution http://www.phengkimving.com/calc_of_one_ real_var/12_app_of_the_intgrl/12_07_areas_ of_surf_of_revltn.htm • Link for volume of known cross section http://www.youtube.com/watch?v=6-yKu- bsN7I