"Surface Area of ​​a Cylinder" Cylinder and Cone PPT Courseware

Description

"Surface Area of ​​a Cylinder" Cylinder and Cone PPT Courseware

1. Review old knowledge

What is the surface area of ​​a cylinder?

2. Explore new knowledge

Ask the students to look at the unfolded figure on the surface of the cylinder and think about it: How should the surface area of ​​the cylinder be calculated?

The surface area of ​​the cylinder = the side area of ​​the cylinder + the area of ​​the two bases

Think about it, can this curved surface be transformed into the plane graphics we have learned? Use your brain to think about how to calculate its sides?

What is the difference between surface area and side area?

The side area is part of the surface area, which also includes the two base areas.

A cylindrical chef's hat is 30cm high and 20cm in diameter at the top. How many square centimeters of fabric should be used to make such a hat? (Keep the number to the nearest ten.)

(1) Side area of ​​hat: 3.14×20×30=1884(cm2)

(2) Area of ​​the top of the hat: 3.14×(20÷2)=314(cm2)

(3) Fabrics required: 1884+314＝2198≈2200(cm2)

The actual fabric used is more than the calculated result, so for this kind of problem, the "further method" is often used to obtain approximate numbers.

3. Application of knowledge

(1) Do it

1. Find the lateral area of ​​the cylinder below.

(1) The perimeter of the base is 1.6m and the height is 0.7m.

(2) The bottom radius is 3.2dm and the height is 5dm.

2. A cylindrical tea bucket has a trademark paper on the side. The radius of the bottom of the cylinder is 5cm and the height is 20cm. What is the area of ​​this trademark paper?

3. Xiaoya made a pen holder. She wants to paste colored paper on the sides and bottom of the pen holder. How much colored paper is needed at least?

(2) Solve problems

Surface area of ​​cuboid: 15 ×10 ×4 +10 ×10 ×2 = 800 (cm2)

Surface area of ​​cube: 6×6×6 =216(dm2)

Surface area of ​​cylinder: 2×3.14×5×12=376.8(cm2)

4. Assign homework

Homework: Exercise 4 on page 23, questions 1, 2, 3, 4, and 7.

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"Surface Area of ​​a Cylinder" PPT download:

"Surface Area of ​​a Cylinder" PPT Download Part One: New Lesson Analysis A cylindrical iron bucket without a lid (as shown below). (1) How many square centimeters of iron sheet should be used to make this bucket? 3.143035=3297 (square centimeters) 3.14 (302)2=706.5..

"Surface Area of ​​a Cylinder" PPT courseware:

"Surface Area of ​​a Cylinder" PPT Courseware Part One: Collaborative Exploration There are countless heights of a cylinder, and the lengths of the heights are all equal. Cooperation and communication in a group of four people: ① What shape is there when the side of the cylinder is expanded along the height? ②Which does the length and width of the expanded figure correspond to that of the cylinder?

"Surface Area of ​​a Cylinder" PPT:

"Surface Area of ​​a Cylinder" PPT Part One Content: Teaching Objectives 1. Be able to flexibly use the calculation method of the surface area of ​​a cylinder to solve some simple problems in life according to specific situations, so that students can feel the close connection between mathematics and life. 2. Through imagination and operation Waiting for life...

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Update Time: 2024-10-05

This template belongs to Mathematics courseware People's Education Press Mathematics Volume 2 for Sixth Grade industry PPT template

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