Volume of Cylinders Remember! Volume is measured in cubic units.

Slides:

Advertisements

Similar presentations

Volume of Prisms and Cylinders

Advertisements

Volume of Prisms and Cylinders

Holt CA Course Volume of Prisms and Cylinders Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Learn to find the volume of cylinders. Course Volume of Prisms and Cylinders Essential Question: Describe what happens to the volume of a cylinder.

8-7 Surface Area of Prisms and Cylinders Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

VOLUME Learning Target: Students will discover the relationship between the volumes of a cone, cylinder, and sphere.

Holt CA Course Volume of Pyramids and Cones Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

8-6 Volume of Pyramids and Cones Course 3. Warm Up A cylinder has a height of 4.2 m and a diameter of 0.6 m. To the nearest tenth of a cubic meter,

Our learning goal is to be able to solve for perimeter, area and volume. Learning Goal Assignments 1.Perimeter and Area of Rectangles and Parallelograms.

Warm Up Find the area of each figure described. Use 3.14 for . 1. a triangle with a base of 6 feet and a height of 3 feet 2. a circle with radius 5 in.

04/26/11 Changing Dimensions Today’s Plan: -Warm up -Changing Dimensions -Assignment LT: I will describe how increasing or decreasing a measurement will.

Warm Up 1. Find the volume of a rectangular prism that is 4 in. tall, 16 in. wide, and 48 in deep. 2. A cylinder has a height of 4.2 m and a diameter of.

Our learning goal is to be able to solve for perimeter, area and volume. Learning Goal Assignments 1.Perimeter and Area of Rectangles and Parallelograms.

8-6 Volume of Pyramids and Cones Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

6-7 Volume of Pyramids and Cones Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Quiz 1. the triangular pyramid 2. the cone Find the volume of each figure to the nearest tenth.Use 3.14 for . Find the surface area of each figure to.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Volume of Prisms and Cylinders

Volumes of Rectangular Prisms and Cylinders

Volume of Pyramids and Cones 9-6 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Surface Area of Prisms and Cylinders 9-7 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

Holt CA Course Evaluating Algebraic Expressions 10-1: Three-Dimensional Figures 10-2: Volume of Prisms and Cylinders 10-3: Volume of Pyramids and.

Holt CA Course Volume of Prisms and Cylinders MG2.1 Use formulas routinely for finding the perimeter and area of basic two- dimensional figures and.

Warm Up Find the area of each figure described. Use 3.14 for pi. 1.

Volume of Pyramids and Cones

Holt CA Course Volume of Cylinders Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.

Volume of Cylinders Unit 3: Geometric Applications of Exponents.

Three-Dimensional Figures Volume and Surface Area.

Insert Lesson Title Here Course Volume of Pyramids and Cones A pyramid is a three-dimensional figure whose base is a polygon, and all of the other.

Transparency 2 Click the mouse button or press the Space Bar to display the answers.

5 minute check 5 Click the mouse button or press the Space Bar to display the answers.

8-8 Surface Area of Pyramids and Cones Warm Up Problem of the Day

Warm-up The base length is 30 cm.

Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Volume of Cylinders 10-9 Warm Up Problem of the Day

Volume of Prisms and Cylinders

8-7 Surface Area of Prisms and Cylinders Warm Up Problem of the Day

Unit 3: Geometric Applications of Exponents

10-4 Surface Areas of Prisms and Cylinders Warm Up Problem of the Day

Warm UP The playhouse is a composite figure with a floor and no windows. What is the surface area of the playhouse?

Volume of Prisms and Cylinders

Preview Warm Up California Standards Lesson Presentation.

Preview Warm Up California Standards Lesson Presentation.

Lesson 6-3 Volume of Pyramids and Cones

Lesson 6-3 Volume of Pyramids and Cones

Lesson 6-2 Volume of Prisms and Cylinders

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

8-7 Surface Area of Prisms and Cylinders Warm Up Problem of the Day

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Lesson 6-2 Volume of Prisms and Cylinders

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Preview Warm Up California Standards Lesson Presentation.

Lesson 6-3 Volume of Pyramids and Cones

Objective: To find the volume of a prism and a cylinder.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Volume of Prisms and Cylinders

Volume of Cones Find the volume of the figure. Use 3.14 for p.

Objective: To find…. Find volumes of prisms and cylinders.

Course 3 Spheres.

volume of prisms and cylinders

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

volume of prisms and cylinders

volume of prisms and cylinders

Volume of Pyramids and Cones

Unit 3: Geometric Applications of Exponents

Unit 3: Geometric Applications of Exponents

Presentation transcript:

Volume of Cylinders Remember! Volume is measured in cubic units. Course 3 Volume of Cylinders Volume is measured in cubic units. Remember!

Course 3 Volume of Cylinders Find the volume of the figure to the nearest tenth. Use 3.14 for . B =  (42) = 16 in2 Area of base 4 in. V = Bh Volume of a cylinder 12 in. = 16 • 12 = 192  602.9 in3

Volume of Cylinders Example 2: Course 3 Volume of Cylinders Example 2: A drum company advertises a snare drum that is 4 inches high and 12 inches in diameter. Estimate the volume of the drum. d = 12, h = 4 d 2 12 2 r = = = 6 V = (r2)h Volume of a cylinder. = (3.14)(6)2 • 4 Use 3.14 for p. = (3.14)(36)(4) = 452.16 ≈ 452 The volume of the drum is approximately 452 in.2

Volume of Cylinders Example 3 Course 3 Volume of Cylinders Example 3 A cylinder measures 3 cm tall with a radius of 2 cm. Explain whether tripling the radius or height of the cylinder would triple the amount of volume. The original cylinder has a volume of 4 • 3 = 12 cm3. V = 36 • 3 = 108 cm3 By tripling the radius, you would increase the volume nine times.

Volume of Cylinders Example 3 Continued Course 3 Volume of Cylinders Example 3 Continued The original cylinder has a volume of 4 • 3 = 12 cm3. V = 4 • 9 = 36 cm3 Tripling the height would triple the volume.

Course 3 Volume of Cylinders A juice can has a radius of 2 in. and a height of 5 in. Explain whether tripling the height of the can would have the same effect on the volume as tripling the radius. By tripling the height, you would triple the volume. By tripling the radius, you would increase the volume to nine times the original.

Volume of Cylinders Lesson Quiz Course 3 Volume of Cylinders Lesson Quiz Find the volume of each figure to the nearest tenth. Use 3.14 for . 10 in. 1. 12 in. 942 in3 2. Explain whether doubling the radius of the cylinder above will double the volume. No; the volume would be quadrupled because you have to use the square of the radius to find the volume.