"Cylinder and Cone Review" PPT

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"Cylinder and Cone Review" PPT

Part One: Review Guide

1. What are the characteristics of cylinders and cones?

2. How to find the side area, surface area and volume of a cylinder? What are the calculation formulas?

3. How to find the volume of a cone? What is the calculation formula?

4. What is the relationship between the volumes of cylinders and cones?

Cylinder and cone review PPT, part 2: knowledge review

Characteristics of cylinders:

1. There are two bottom surfaces with equal areas;

2. A cylinder has a curved surface called a side surface, which unfolds along the height to form a rectangle or square.

3. The cylinder has countless heights, and each height is equal.

Characteristics of cones:

1. The base of a cone is a circle.

2. The side of the cone is a curved surface, which expands into a fan shape.

3. A cone has only one vertex and one height. (The distance from the vertex to the center of the base is the height of the cone)

Surface area of ​​cylinder:

Side area of ​​cylinder = perimeter of base × height

Surface area of ​​cylinder = side area + base area × 2

Volume of cylinder:

Volume of cylinder = base area × height

V = s h

Volume of the cone:

Cone volume = base area × height × 1/3

V＝1/3Sh

Cylinder and cone review PPT, part three: consolidate application

1. (1) What is the volume of the wine glass?

(2) Approximately how many cups can be poured into each can of drinks?

(3) How many square centimeters of material are needed to make a drink?

(1) (6÷2)2×3.14×5÷3=47.1 (ml)

(2) (6÷2)2×3.14×12÷47.1≈7 (cup)

(3) 6×3.14×12+(6÷2)2×3.14×2=282.6 (square centimeters)

2. As shown in the picture below, a rectangular carton contains 24 cans of drinks (see question 1 for data). What are the length, width and height of this carton in centimeters? (The thickness of the carton is ignored)

Length: 6×6=36 (cm)

Width: 6×4=24 (cm)

Height: 6×1=6 (cm)

3. Looking at the following three-dimensional figures from above, what figures do you see? Please connect it with a line.

4. make a prompt decision. (Please put “√” in the brackets if you are correct and “×” if you are wrong)

(1) The diameter of the base of the cylinder is 3 cm and the height is 9.42 cm. Its sides are expanded along the height to form a square. ( )

(2) The volume of the cone is cylindrical. ( )

(3) The volume of a can of Coca-Cola is about 400 cubic centimeters. If 24 bottles are filled into a box, the volume of the box will be about 9600 cubic centimeters. ( )

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for sixth grade volume 2, cylinder and cone review PPT download, .PPT format;

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Update Time: 2024-07-03

This template belongs to Mathematics courseware Hebei Education Edition Sixth Grade Mathematics Volume 2 industry PPT template

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