Volume of a Cylinder, Cone, and Sphere

Slides:



Advertisements
Similar presentations
By: Ana Zuniga 2 nd period.  It’s the measurements outside of the shape.  Formulas: Rectangle P= 2l+2w Square P= 4s math.about.com.
Advertisements

Volume and Surface Area of a Cylinder (Day 1) We are learning to…find the volume and surface area of a cylinder Sunday, April 26, 2015.
Volume of a Cylinder, Cone, and Sphere We are learning to…find the volume of a cylinder, cone and sphere.
Volume of a Cylinder and Cone Today we will answer the very important question …. Which holds more ice cream; a small cup or a cone? Predictions?
Section 8.3 Nack/Jones1 8.3 Cylinders & Cones. Section 8.3 Nack/Jones2 Cylinders A cylinder has 2 bases that are congruent circles lying on parallel planes.
 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units.
Chapter 12. Section 12-1  Also called solids  Enclose part of space.
Surface Area and Volume
What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.
CHAPTER 5 MEASUREMENT.
1-7 Three Dimensional Figures
FILLING AND WRAPPING VocabularyPROBLEMSSURFACE AREA Miscellaneous VOLUME.
A sphere is the set of all points that are a given distance from a given point, the center. To calculate volume of a sphere, use the formula in the blue.
Chapter 10: Surface Area and Volume
Volume of a Cylinder, Cone, and Sphere
Volume of Cones Unit 3: Geometric Applications of Exponents.
Surface Area The sum of the area of all the faces of a polyhedron.
Surface Area of Cylinders Unit 5, Lesson 3. What is a Cylinder? Definition: –A three dimensional figure with 2 circular bases. Formula for Surface Area:
Volume And Lateral Surface Area By: Qwendesha Vessel And Azalea Willis.
Chapter 10: Area & Volume 10.4, 10.5, 10.6 Space Figures Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres.
An introduction to 3D Figures
We are learning to…find the volume of a cylinder Monday, May 18
José Pablo Reyes 10 – 5.  Square: multiply the base times its self  Rectangle: multiply the base times the height (bxh)  Triangle: multiply the base.
 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units.
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.
 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units.
ShapeArea Square Length Squared. RectangleLength times width. TriangleBase times height divided by two. ParallelogramBase times height. TrapezoidHalf.
Cube A cube[1] is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex[1]three-dimensionalsquarefacetsvertex.
Lesson #1 Volume of a Cylinder We are learning to…find the volume of a cylinder.
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 12 cm 10cm.
Chapter Estimating Perimeter and Area  Perimeter – total distance around the figure  Area – number of square units a figure encloses.
Chapter 10 Notes Area: Parallelograms Area of a figure is the number of square units it encloses. The stuff inside of a figure. Area of a Parallelogram:
Cones and Pyramids. What are cones and pyramids? A pyramid is a polyhedron with one base – A polyhedron is a solid with flat surfaces that are shapes.
Surface Area and Volume of Cylinders Mr. Bench PVMS.
UNIT 8: VOLUME VOCABULARY 8 TH GRADE MATH MS. CARQUEVILLE.
Volume and Surface Area
12.3 Surface Areas of Circular Solids
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 12 cm 10cm.
Volume of a Cylinders, Cones, and Spheres How much will I hold. MGSE8
Volume of a Cylinder, Cone, and Sphere
Unit 11: 3-Dimensional Geometry
Preview Warm Up California Standards Lesson Presentation.
How do I find the volume of cones, cylinders, and spheres?
Homework: Due Tomorrow
Chapter 12 Area and Volume.
Volume of a Cylinder, Cone, and Sphere
We are learning to…find the volume of a cylinder
Space Figures.
Definitions A cylinder has two identical flat ends that are circular and one curved side. Volume is the amount of space inside a shape, measured in cubic.
Unit 11: 3-Dimensional Geometry
INTRODUCTION TO GEOMETRIC SOLIDS.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Do Now 1. On your desk: whiteboard, marker, eraser
Volume Pyramids.
5.6 Surface Area of 3D Figures
12.3 Surface Areas of Circular Solids
Warm-Up #4 Review 2/6 odd AND 2/7even
9.4 – Perimeter, Area, and Circumference
VOLUME UNIT 10 VOCABULARY.
Volume of a Cylinder, Cone, and Sphere
Unit 4D:2-3 Dimensional Shapes
Unit 3: Geometric Applications of Exponents
Surface Area and Volume
9.4 – Perimeter, Area, and Circumference
Copyright © Cengage Learning. All rights reserved.
We are learning to…find the volume of a cylinder
Unit 3: Geometric Applications of Exponents
Lesson 4 Volume of Prisms
Maths Unit 8 (F) – Perimeter, Area & Volume
Unit 3: Geometric Applications of Exponents
Presentation transcript:

Volume of a Cylinder, Cone, and Sphere We are learning to…find the volume of a cylinder, cone and sphere

Volume Definition Geometric Shapes The number of cubic units needed to fill a given space Geometric Shapes Cylinder Cone Sphere

Cylinder A three dimensional figure with two parallel, congruent bases connected by a curved lateral surface http://www.youtube.com/watch?v=FLtkVS8bAUY

Previous Formulas Learned Area and Circumference of a Circle Formula to find the area of a circle: The formula to find the circumference of the circle: Area is the space inside of an object. Circumference is the perimeter (length outside) of a circle.

Cylinder Formula B = Area of the base h = Height r = Radius = Pi = 3.14159…..(irrational number use calculator unless told otherwise)

Volume of a Cylinder Label the BASE and HEIGHT of the cylinder below: Base of the Cylinder!

For the Volume of a Cylinder we can write: V = B(h) OR V = πr2(h)

Volume of Cylinders Class Practice 18 cm 5 cm

Volume of Cylinders Class Practice 12 cm 7 cm

Cone A three dimensional figure with one vertex and one circular base http://www.youtube.com/watch?v=G3wEgkUqc-k

Cone Formula

Volume of Cones Class Practice

Volume of Cones Class Practice

Sphere A three dimensional figure with all points the same distance from the center http://www.youtube.com/watch?v=zPd21soIZw0

Sphere Formula

Volume of Spheres Class Practice

Volume of Spheres Class Practice

Relationship between Cylinder, Cone and Sphere http://www.youtube.com/watch?v=u7zyl9zFj0Y