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The sides of the cylinder are cut along the height, and a (rectangular) shape is obtained, which is equal to the length of the cylinder (bottom circumference) and the width is equal to the (height) of the cylinder.
The side area of the cylinder = (base circumference) times (height).
The surface area of the cylinder plus the side area is the surface area of the cylinder.
How much material does it take to make a cylindrical ventilation duct? "is to find the (side) area of the cylinder. "How much tin sheet does it take to make a cylindrical bucket with a lid? "is to find the (table) area of the cylinder.
When (base circumference) and (height) are equal, the side of the cylinder is cut along the height to make a square.
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1.Rectangle (square when the circumference of the base surface is equal to the height) 2The circumference of the base circle.
3.High. 4.The circumference of the base is multiplied by the height.
5.Side area + upper and lower circle area.
6.Side area.
7.Surface area.
8.Circumference of the base (both long).
9.High (i.e., high).
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1.Rectangle or square. 2.
The perimeter of the underside. 3.High.
4.The circumference of the underside is high. 5.
Side area + upper and lower circle area. 6.Side area.
7.Surface area. 8.
Bottom circumference. 9.High.
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Rectangles, squares, parallelograms (oblique cuts).
The bottom perimeter is high.
The circumference of the underside is high.
Side area + upper and lower bottom area.
Side area. Surface area.
When the circumference and height of the base surface are the same.
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Rectangle).(Bottom Circumference), (Height), (Bottom Circumference), (Height), (Side Area), (2 Base Area), (Side), (Table), (Base Circumference), (Height).
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Rectangle Bottom Perimeter Height Bottom Perimeter Multiplied Bottom Area Height Side Area Surface Area Width Height.
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1. The side area of a cylinder is a square centimeter, and the height is 1 centimeter, and his surface area is how many square centimeters 2. The radius of a cylindrical tea box is 4 centimeters and the height is 5 centimeters. How many side wrappers of tea boxes can be made per square meter of paper?
3. Calculate the side area, bottom area and surface area of the cylinder.
1) Known radius, height 10dm (2) diameter 4 cm, height 2 cm (2) circumference cm, height 2 cm.
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Side area = 56 2 = 28
Bottom area = 28 2 = 14
Bottom Area Radius = 14, Radius = 2 14, Perimeter = 2 14 Cylindrical Height = Side Area Bottom Perimeter = 28 2 14 Cylindrical Volume = Bottom Perimeter * Cylindrical Height = 2 14 * 28 2 14 = 28 cubic decimeters.
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Let the radius of the base circle be r, the height of the cylinder be x, and the system of vertical equations.
2 vulture 2—x*2 vulture = 0
2 vulr2+ x*2 vulr = 56
Calculate r = 14 vultures under the root number.
Then calculate the area of the base circle r2=14
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Because the surface area is equal to the side area multiplied by the radius divided by 2, the volume calculated according to the formula is 56 cubic decimeters.
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Finding volume, right?
Analysis: The sum of the two bottom surface areas is equal to the side area, the surface area = 4 base area = 56, the bottom area = 14 = r, r = root number (14), side area = 28 = 2 rh, can get h = root number (14), so volume v = base area * height = 14 * h = 14 (14) cubic decimeters.
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Analysis: The sum of the two bottom surface areas is equal to the side area, the surface area = 4 bottom area = 56, the bottom area = 14 = r, r = root number (14), side area = 28 = 2 rh, can get h = root number (14), so volume v = bottom area * height = 14 * h = 14 (14) cubic decimeter side area = 56 2 = 28
Bottom area = 28 2 = 14
Bottom Area Radius = 14, Radius = 2 14, Perimeter = 2 14 Cylindrical Height = Side Area Bottom Perimeter = 28 2 14 Cylindrical Volume = Bottom Perimeter * Cylindrical Height = 2 14 * 28 2 14 = 28 cubic decimeters.
Let the radius of the base circle be r, the height of the cylinder be x, and the system of vertical equations.
2 vulture 2—x*2 vulture = 0
2 vulr2+ x*2 vulr = 56
Calculate r = 14 vultures under the root number.
Then calculate the area of the bottom circle r2=14, that is, the surface area is equal to the side area multiplied by the radius divided by 2, and the volume calculated according to the formula is 56 cubic decimeters.
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"The round steel in the water is exposed by 6 centimeters, and the water in the bucket drops by 4 centimeters" can be known
For every 6 4 = cm of the round bar exposed to the surface of the water, the water in the bucket falls by 1 cm, that is, for every 1 cm of water rises, the round bar is less than a centimeter.
Therefore, "put it all in the water, and the water in the bucket will rise by 8 centimeters", then the round bar will be centimeters long, so the volume of the round bar is: 10 10 cubic centimeters).
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Noting the relationship between 8 cm and 4 cm, the height of the solid cylinder is 12 cm. The volume is 3768 cubic centimeters from v= r h.
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According to the question, the length of the solid cylinder is 12 centimeters, and the radius is 10, so the base area is multiplied by 10 squared, which is equal to 314. Then the volume v = sh 314 * 12 = 3768 square centimeters.
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1, The surface area of two cylinders is equal, and their volume must also be equal ( ).
2. The larger the bottom area of the cylinder, the larger the volume ( ).
3. The height of a cylinder is expanded by 2 times, the base area is reduced by 1/2, and its volume remains unchanged ( )4, if the circumference and height of the bottom surface of the cuboid and the cylinder are equal, then their volume is also equal ( ).
Multiple choice question 1If the base area of a cylinder is expanded to 3 times the original size and the height is also expanded to 3 times the original size, then its volume (b).
a.Enlarged to 3 times the original bEnlarged to 9 times the original cExpanded to 27 times the original dNo change.
2.If a cylinder is equal to a cube with both base area and height, then their volume (c) aCylindrical large bCube large cAs big as dUp in the air.
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A cone of equal base and height and a cylinder, their base is equal and their height is equal, then their faces. Deliverance is also equal. Right.
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1.Paint area per square meter A total of 628 kg of paint is requiredThe area at the bottom of the cylinder is a square centimeter.
3.If only boys are distributed, an average of 30 tickets will be distributed to each person.
4.B's work efficiency is 125% of C's work efficiency.
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square decimeters, kilograms.
2.Bottom circumference: cm, radius cm, area: 4*4*square centimeter.
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1.The cone, which is equal to the bottom and the same height, is 1 3 of the volume of the cylinder, and the shaved one accounts for 2 3 of the cylinder, 12 4 2 3 = 32 dm
2.The cone-height conical is 1 3 of the volume of the cylinder, the cylinder is 3, the cone is 1, the cone is: 96 3+1 =24 the cylinder is: 24 3=72
3.The surface areas in the problem are all equal. It should be removed, only after the volume is equal, the height of the cone should be 3 times that of the cylinder, 9 3 = 27 dm.
4.The cone, which is equal to the bottom and the same height, is 1 3 of the volume of the cylinder, and the less occupies 2 3 of the cylinder, the cylinder: 14 2 3 = 21 dm, and the cone: 21 1 3 = 7 (dm.
5.Let the radius of the cylinder be r, then the radius of the cone is 2r, the volume of the cylinder is r h, and the volume of the cone is: 1 3 2r h, and the ratio of the two is: 1 4 3 = 3 4.
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I didn't copy it, I wrote it one by one and typed it up.
1.The cone, which is equal to the bottom and the same height, is 1 3 of the volume of the cylinder, and the shaved one accounts for 2 3 of the cylinder, 12 4 2 3 = 32 dm
2.The cone-height conical is 1 3 of the volume of the cylinder, the cylinder is 3, the cone is 1, the cone is: 96 3+1 =24 the cylinder is: 24 3=72
3.The surface areas in the problem are all equal. It should be removed, only after the volume is equal, the height of the cone should be 3 times that of the cylinder, 9 3 = 27 dm.
4.The cone, which is equal to the bottom and the same height, is 1 3 of the volume of the cylinder, and the less occupies 2 3 of the cylinder, the cylinder: 14 2 3 = 21 dm, and the cone: 21 1 3 = 7 (dm.
5.Let the radius of the cylinder be r, then the radius of the cone is 2r, the volume of the cylinder is r h, and the volume of the cone is: 1 3 2r h, and the ratio of the two is: 1 4 3 = 3 4.
1. There are 2 answers:
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