Geometry 12.3 Part 1 Cylinders. Right Cylinders Oblique Cylinders.

Slides:



Advertisements
Similar presentations
Lesson 9-3: Cylinders and Cones
Advertisements

SURFACE AREA Prisms and Cylinders Section 6-2. Prism A polyhedron with two congruent parallel bases Named by the shape of the bases The other faces are.
Surface Area of a cylinder Objective: Be able to calculate the surface area of a cylinder.
11.2 Surface Areas of Prisms and Cylinders
Volume.
Surface Area of Circular Solids Lesson 12.3 cylinder cone sphere.
Do Now 1.) 2). 5/15/ C Surface Area of Cylinders.
12 – 3 Cylinders and Cones.
Volume and Total Surface Area of RIGHT Prisms and CYLINDERS.
OBJECTIVES: 1) TO FIND THE SURFACE AREA OF A PRISM. 2) TO FIND THE SURFACE AREA OF A CYLINDER. PDN: PG. 528 # Surface Area of Prisms and Cylinders.
9-1C Surface Area of Cylinders and Cones What are the parts of a cylinder? What is the formula for the lateral area of a cylinder? What is the formula.
Circle Formulas Vocabulary: Circumference Radius Diameter Pi.
The two shaded faces of the prisms shown are its bases An altitude of a prism is a segment joining the two base planes and perpendicular to both The faces.
Surface Area and Volume
12.3 Surface Area of Circular Solids
Find the area of each circle.
Geometry 10-4 Cylinders. Definitions The lateral surface of a cylinder is the curved surface that connects the two bases. The (total) surface area of.
Section 12.2 Surface Areas of Prisms and Cylinders.
Popcorn Prisms Surface Area & Volume. To do the next two lessons, you need to know... That a prism is a 3-dimensional shape with 2 identical parallel.
10-4 Surface Areas of Prisms and Cylinders Warm Up Problem of the Day
Friday, March 16 th 1.Solve for x 2. Find the Surface Area and volume.
Geometry 12.2 – 12.5 Prep for the STAR Test. Geometry 12.2 Pyramids.
Chapter 11: Surface Area & Volume
11-2 Surface Area of Prisms and Cylinders Objective: To find the surface area of a prism and a cylinder.
SOLIDS PRISMS AND CYLINDERS JIM SMITH JCHS spi3.2.K, 4.3.A.
By Bailee and Kayla. Objectives  Find lateral areas of cylinders  Find surface areas of cylinders.
Geometry Formulas: Surface Area & Volume. CCS: 6.G.4. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the.
Volume of a Cylinder Radius of circle = 2 Height of can is 7.
Geometry Chapter 12 Review. Lateral Area of a Prism: L.A. Lateral Area of a Prism: L.A. The lateral area of a right prism equals the perimeter of a base.
8.3 Volume Objectives: To find the volume of a right prism. To find the volume of a right cylinder. To find the volume of a pyramid. To find the volume.
Prisms & Pyramids 1 Prism and Pyramids Formulas Prisms: Lateral Area: L.A. = ph (p = perimeter, h = height) Surface Area: S.A. = ph + 2B (B = area of base)
8.2 Surface Area Objectives:
1 Cylinders and Cones. 2 Surface Area (SA) = ph + 2B = 2πrh + 2πr 2 Cylinders are right prisms with circular bases. Therefore, the formulas for prisms.
Geometry 12.3 Part 2 Cones.
Vertex Regular Pyramid – Slant Height - Altitude 1) Base is a regular polygon 2) Faces are congruent isosceles triangles 3) Altitude meets the base at.
 Cone: a solid with one base that is a circle, and a curved, smooth lateral surface that comes to a point, the apex. No, because it has a curved lateral.
Gaby Pavia and Gaby Pages. Section 12-1 Bases: congruent polygons lying in parallel planes Altitude: segment joining the two base planes and perpendicular.
Chapter 11.2 Surface Areas of Prisms and Cylinders.
11-1 Space Figures and Cross Sections. Polyhedra A polyhedron is a three- dimensional figure whose surfaces are polygons. Each polygon is a face of the.
Sec. 11 – 2 Surface Area of Prisms & Cylinders Objectives: 1) To find the surface area of a prism. 2) To find the surface area of a cylinder.
We are learning to…find the volume of a cylinder Monday, May 18
Surface Area of Cylinders
CHAPTER 12 AREAS AND VOLUMES OF SOLIDS 12-3 CYLINDERS AND CONES.
Surface Areas & Volume of Cylinders Tutorial 9a Lateral and Surface Area §A cylinder has two congruent parallel bases. §The bases of a cylinder are circles.
Volume of a Cylinder How much will I hold?. A cylinder has two identical flat ends that are circular and one curved side. Volume is the amount of space.
12.4 Surface Areas of Cylinders By: Kristy Truong and Laura Blair.
Honors Geometry Areas. What is area? When we say that the area of something is so many square units (square inches, square miles, square meters, etc.),
Perimeter, Circumference and Area. Perimeter and Circumference Perimeter : The distance around a geometric figure. Circumference: The distance around.
Geometry Practice Test Prisms Find the (1) lateral area and (2) total area and (3) volume of the right prism (1) LA = pH LA.
Geometry 12.1 Prisms. Today you will learn how to find three measurements about prisms. You will find: Prisms Lateral area: L.A. Total area: T.A. Volume:
Group 6 Period 5 Problems Mac Smith, Jacob Sweeny Jack McBride.
Prisms Unit 12 Section 1 Identify the parts of prisms Find the lateral areas, total areas, and volumes of right prisms.
Lesson 12-3 Cylinders and Cones (page 490) Essential Question How is the surface area and volume of pyramids and cones different from prisms and cylinders?
Cylinders and Cones Unit 12 Section 3 Identify the parts of cylinders and cones Find the lateral areas, total areas, and volumes of right cylinders and.
Surface Area of a Cylinder Geometry. Overview Find the area of a circle Find the circumference of a circle Find the area of rectangle Find the surface.
Lesson 12-3 Cylinders and Cones (page 490) Essential Question How can you calculate the area and volume of a cylinder and a cone?
Geometry 12.3 Part 1 Cylinders. Right Cylinders Oblique Cylinders.
Prism & Pyramids. Lesson 9-2: Prisms & Pyramids2 Right Prism Lateral Area of a Right Prism (LA) = ph Surface Area (SA) = ph + 2B = [Lateral Area + 2 (area.
Section 12-3 Cylinders. cylinder It is like a prism except that its bases are circles instead of polygons. Bases.
LESSON Today: 12.1 Questions 12.2 Discovery 12.2 Lesson Warm- Up: Discovery Activity.
Geometry Formulas: Surface Area & Volume.
10-3 Surface Area of Prisms and Cylinders
10-4: Surface Area of Cylinders
NOTES 12.3 Surface Area of Circular Solids.
Volume.
Section 12-3 Cones.
Lesson 9-3: Cylinders and Cones
Presentation transcript:

Geometry 12.3 Part 1 Cylinders

Right Cylinders

Oblique Cylinders

Today you will learn how to find three measurements about right cylinders. You will find: Right Cylinders Lateral area: L.A. Total area: T.A. Volume: V

Right Cylinder Vocabulary base each is a circle base h r altitude joins the centers of the bases, with length h radius radius of the base is also the radius of the cylinder, r

To find lateral area (L.A.): Multiply circumference by height circumference height Take a can of soup Peel off the label

Lateral Area of a Cylinder: L.A. The lateral area of a cylinder equals the circumference of a base times the height of the cylinder. L.A = 2πrH LA = 12π 8 = 96π square units L.A = dπH L.A = CH which is 6 8

To find total area (T.A.):Take the label (LA) Pop the top and find the area of the base TopBottom Add 2 base areas to the LA A = πr²

Total Area of a Cylinder: T.A. The total area of a cylinder is the lateral area plus twice the area of a base. T.A = L.A. + 2B TA = 96π + 2(π 6²) = 96π + 2(36π) = 96π + 72π = 168π square units 6 8 T.A. = 2πrH + 2πr² which is

To find volume (V):Start with the area of the base Multiply it by height H r That’s how much soup is in the can ! A = πr²

Volume of a Cylinder: V The volume of a cylinder equals the area of a base times the height of the cylinder. V = πr²H V = (π 6²) 8 = 36π 8 = 288π cubic units 6 8

Exercises Find the (a) lateral area (b) total area and (c) volume. 1. (a) LA = CH LA = 4π (3) LA = 12π un² (b) TA = LA + 2B TA = 12π + 2(4π) TA = 20π un² Base area = π 2² = 4π radius: 2 Height: 3 TA = 12π + 8π (c) V = πr²H V = 4π 3 = 12π un³ Base circumference = 2(2)π = 4π

Exercises Find the (a) height (b) lateral area and (c) volume. 2. (b) TA = LA + 2B 24π = LA + 2(4π) LA = 16π un² (a) LA = CH 16π = 4π H H = 4 un Base area = π 2² = 4π (c) V = πr²H V = 4π 4 = 16π un³ Base circumference = 2(2)π = 4π 2. radius: 2 Total Area: 24  24π = LA + 8π

It’s been soup-er having you in class today………… Let’s check out the soup addendum powerpoint.

Homework (1) Finish Notes Exercises #3-5 on a separate sheet (2) Get a Campbell’s soup can and measure it in cm. Find the: (a) LA (b) TA (c) V