"Side Development Views of Cylinders and Cones" PPT courseware

Description

"Side Development Views of Cylinders and Cones" PPT courseware

learning target

1. Understand the concepts and properties of cylinders and cones, and recognize the bases and sides of cylinders and cones.

2. Understand the side expansion diagrams of cylinders and cones, and be able to imagine actual objects based on the expansion diagrams.

3. Can calculate their side area and total area.

collaborative inquiry

1. Cut the side of the cylinder along a generatrix. What shape will you get? How do the length and width of the expanded image relate to the sides of the rectangle before rotation?

2. Cut the side of the cone along a generatrix. What figure will you get? How does the expanded graph relate to the sides of the triangle before rotation?

Apply what you learn

A cylindrical water tank without a cover is to be made from a steel plate. Its height is 2 meters and its volume is 6.28 cubic meters. How much steel plate is needed (excluding processing residual materials, accurate to 0.1 square meters)?

Handmade

Tongxin Toy Factory wants to produce a Santa Claus hat. The hat body is conical (as shown in the picture) PB = 15cm and the base radius r = 5cm. To produce 100 of this kind of hat body, can you help the toy factory calculate the minimum required How many square meters of material (excluding joint materials and remaining materials)?

Fill in the blanks and evaluate according to the following conditions (where r, h, and a are the base radius, height line, and generatrix length of the cone respectively)

(1)a=2, r=1 then h=_______

(2)h=3, r=4 then a=_______

(3)a=10, h = 8 then r=_______

The radius of the bottom of a cylindrical pool is 4 meters and the depth of the pool is 1.2 meters. The inner wall and bottom of the pool are plastered with cement. The area of ​​the cemented part is ______ square meters.

It is known that the base radius of a cone and a cylinder are both 3 meters and the height is 4 meters. Then the S column side = _____ meters 2 and the S cone side = _______ meters 2. The difference in their side areas is ____ The ratio of lateral areas is _____.

After studying this lesson, what do you know about the geometry of cylinders and cones in space? What other doubts are there?

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For more information about the PPT courseware "Side Exploded Views of Cylinders and Cones", please click the Developed Side Views of Cylinders and Cones ppt tag.

"Side Development Views of Cylinders and Cones" PPT courseware 3:

"Side Development Views of Cylinders and Cones" PPT Courseware 3 Review Review: 1. What is the arc length formula? 2. What is the formula for the area of ​​a sector? 3. What is the lateral area of ​​a prism? Structural characteristics of cylinder Cylinder: The straight line where one side of the rectangle is located is the axis of rotation, and the rest...

"Side Development Views of Cylinders and Cones" PPT courseware 2:

"Side Development of Cylinders and Cones" PPT Courseware 2 Review Review A three-dimensional body whose surface is composed of a curved surface or a curved surface and a plane is called a curved body. Common curved bodies include cylinders, cones, spheres, and rings. Observation and Thinking 1 Compare the structural characteristics of pyramids, observe and think about circles...

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Update Time: 2024-09-08

This template belongs to Mathematics courseware Qingdao Edition Ninth Grade Mathematics Volume 2 industry PPT template

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