Surface Area of Circular Solids Lesson 12.3 cone

Surface Area of Circular Solids Lesson 12.3 cone

Surface Area of Circular Solids Lesson 12.3 cone cylinde r sphere Cylinder: Contains 2 congruent parallel bases that are circles. Right circular cylinder perpendicular

line from center to each base. h r Net : Theorem 113: h The lateral area of a cylinder is equal to

the product of the height and the circumference of the base. LAcyl = Ch = 2rhrhrh (C = circumference, h= height) r The total area of a cylinder is the sum of the cylinders lateral area and the areas of the two bases. T.A. = 2rhr2 + 2rhrh

Find the surface area following cylinder: 7cm (total) of the TA = 2rhrhr2rh + 2rhrhrh TA = 2rhrh(72rh) + 2rhrh(7)(10) 10cm

TA = 98 + 140rh + 140rh TA = 2rh38 + 140rh cm2rh l Cone: base is a circle Slant height and lateral height are the same. Cone will mean a right cone where the altitude passes through the center of the circular base.

Net: Theorem 114: The lateral area of a cone is equal to1/2rh the product of the slant height and the circumference of the base. LA = Cl = rhrl C = Circumference & l = slant height The total surface area of a cone is the sum of the lateral area and the area of the base. TA = rhr2rh + rhrl

Find the surface area of the cone. The diameter is 6 & the slant height is 8 + 140. TA = rhr2rh + rhrl = rh(3)2rh + rh3(8 + 140) = 9rh + 2rh4rh = 33rh units2rh Sphere: has NO lateral edges & No lateral

areaTA = 4rhr2rh Postulate: r = radius of the sphere Find the total area of the sphere: TA = 4rrr2 = 4rr52 = 100r units2 As a team, find the surface area of the following shape. Only find the area of the parts you can see.

16c m 17c m 10cm 1. Lateral area of a rhrl = rh8 + 140(17) = cone, 136rh

2rh. Plus the lateral area of the cylinder, 2rhrhrh = 2rhrh(8 + 140)(10) = 160rh 3. Plus the surface of the hemisphere. 4rhr2rh = (1/2rh)4rh(8 + 1402rh) = 12rh8 + 140rh 4. Add them up: 136rh + 160rh + 12rh8 + 140rh = 42rh4rh units2rh

Recently Viewed Presentations

  • Industry Update on Turbulence - Airline Dispatchers Federation

    Industry Update on Turbulence - Airline Dispatchers Federation

    IATA's role is to facilitate ground-to-ground. turbulence data sharing amongst airlines. IATA's role is to receive existing airline data from ground servers, consolidate data into one database (managed by a specialized, IATA contracted database vendor), and
  • Tax Levy Ordinances and Truth and Taxation Requirements

    Tax Levy Ordinances and Truth and Taxation Requirements

    Tax Levy Ordinances and Truth and Taxation Requirements . POWER TO TAX. PROPERTY TAXES - IN GENERAL. ... Property taxes must have a legitimate corporate purpose: Promote the general welfare of the municipality, and ... showing compliance with the Illinois...
  • Useful revision guide Instant Clinical Pharmacology E.J. Begg

    Useful revision guide Instant Clinical Pharmacology E.J. Begg

    Drug dosing Important factors concentration of drug in plasma rate of drug elimination rate of drug absorption Toxic level Minimum therapeutic level Cp time Therapeutic window Revision of pharmacokinetic terms 1st order elimination rate of elimination depends on plasma concentration...
  • Good News and Neutral News Messages - swlearning.com

    Good News and Neutral News Messages - swlearning.com

    Implement the CBO approach and the persuasive strategy AIDA and incorporate the six Cs of effective messages to plan and complete an effective cover letter. The Job Search Analyze personal characteristics and qualifications.
  • What is inclusion, why is it important?

    What is inclusion, why is it important?

    Inclusion & Federal Law (IDEA, 2004) LRE mandate in IDEA (2004) states:To the maximum extent appropriate, children with disabilities . . . are educated with children who are nondisabled; and special classes, separate schooling, or removal from the regular educational...
  • American sports - Portland State University

    American sports - Portland State University

    American sports Shan Su L/S4c Sports Hobby How often What kinds Extreme sports Americans like sports or not? How often do Americans exercise? ... 13 people gym 2 hiking 1 soccer 1 canoeing 1 volleyball 1 ice-hockey 1 surfing 1...
  • FA Youth Development Proposals More and Better Players

    FA Youth Development Proposals More and Better Players

    Child-Friendly Football. Please find attached a presentation sharing findings from two years research, presentations and discussions across the country. Please send any thoughts or requests for more support in any particular areas through to [email protected] and will try and help...
  • Tiger Adaptations - emsisd.com

    Tiger Adaptations - emsisd.com

    White Tiger Adaptations. BY: Sungje Hong . Teeth. Tiger Teeth help the tiger eat its prey. The texture of the tigers teeth is special. Tiger teeth are sharp like wolf teeth. Camouflage . The white fur on this white tiger...