1. Fill in the blanks: 15.

1, the top and bottom of the cylinder are two () circles, and the () surface is a curved surface; The bottom surface of the cone is () shaped, and the side surface is () surface.

2. The area of the cylinder plus the area of () is the surface area of the cylinder.

3.Scale = (): (), and Scale is actually a ().

4. The scale of a painting is. The distance between a and b is 140km, which should be () cm in this picture.

5. Enclose a cylinder with a rectangular piece of paper with a length of 3 1.4 cm and a width of 20 cm. The length of this paper is a cylinder () and the width is a cylinder ().

6. The transverse expansion of the cylinder is a square with a side length of 8 cm. The side area of this cylinder is () square centimeters.

7. A part is 8 mm long, and 16 cm is drawn on the design drawing, and the scale of this design drawing is ().

8. Sixth-grade students line up to do broadcast exercises, and the number of people in each row is directly proportional to the number of rows arranged (); The oil yield is certain, and the quality of peanut oil is directly proportional to the quality of peanut (); 3x=y, and x is proportional to y (); The actual distance is constant, and the distance on the map is proportional to the scale ().

9. The ratio of the bottom radius of two cylinders with the same height is 4: 3, and their volume ratio is ().

10,4.6 m2 = () 2,5600 m3 = () m3.

7.08 liters = () liters () milliliters 3 cubic centimeters 50 cubic centimeters = () decimeter 3

1 1, a conical part with a bottom radius of 6dm and a height of half the radius, and the volume of this part is () dm3.

12. Divide a cylinder into several parts and make it into an approximate cuboid. The base area of this cuboid is 7 square decimeters, the height is 8 decimeters, and the volume of the cylinder is () cubic decimeters.

14. The inner wall and bottom of the cylindrical pool should be coated with cement. The bottom diameter of the pond is 4m, and the pond depth is 15mm. Plastering area is () square meters.

15. The front wheel of the roller is cylindrical, with a wheel width of 4m and a diameter of1.5m. Every time the front wheel rotates, the road pressing area is () m2.

16. On the plan view, the line segment of 5cm represents the actual distance of 50m. The scale of this picture is ().

17, the volume of a cone is 4.5 cubic decimeter, the height is 4.5 decimeter, and the bottom area is () square decimeter.

18, the volume of a cone with a base area of 30 square centimeters and a height of 5 centimeters is () cubic centimeters, and the volume of a cylinder with the same base height is () cubic centimeters.

19, the iron block with a volume of 56.52dm3 was cast into a conical part with a base diameter of 12 dm. The height of the cone is

() Deutschmark.

2. True or false: 10.

1, parallelogram has a certain area, and its base is inversely proportional to its height. ( )

2, a wire, the number of meters used is inversely proportional to the number of meters left. ( )

3. The number of copies subscribed to Youth Literature and Art is inversely proportional to the total amount of money. ( )

4. The bottom area of a cuboid is constant, and its height is inversely proportional to its volume. ( )

5. The radius of a circle is proportional to its area. ( )

6. The diameter of the bottom surface of the cylinder is 3cm and the height is 3π cm. The side is a square when it is unfolded. ( )

7. When the height of a cylinder is doubled, its volume is also doubled. ( )

8. The volume of the cone is equal to 13 of the volume of the cylinder. ( )

9. Cubes, cubes and cylinders with equal bottoms and heights have equal volumes. ( )

10. If the upper and lower surfaces of an object are equal circular surfaces, it may be a cylindrical object. ( )

Iii. Multiple choice questions: 10.

1, cut a cube with a side length of 4 decimeters into the largest cylinder with a volume of () cubic decimeters.

a、50.24 B、 100.48 C、64

2. The cylinder is () high and the cone is () high.

A, 1 B, 2 C, countless

3. The radius of the cylinder bottom is r, the height is h, and its surface area is expressed as ().

a、2πrh B、2πr？ +2πrh C、πr？ +2πrh

4, a cylinder, the bottom diameter and height are 2 decimeters, the surface area of this cylinder is () square decimeter.

a、6π B、5π C、4π

5. The radius and height of the bottom of the cylinder have expanded by 2 times, and the multiple of its volume expansion is: ()

A, twice b, four times c, eight times

6. The length of a machine part is 8 mm, and the length drawn on the drawing with the scale of 10: 1 is ().

A, decimeter b, 8 mm c, 8 cm

7, the circumference and diameter of the circle ().

A, proportional to B, inversely proportional to C, out of proportion

8. The length of a rectangle is fixed, and its circumference and width ().

A, proportional to B, inversely proportional to C, out of proportion

9. The two quantities in () are out of proportion.

From Beijing to Guangzhou, the average speed and time required for the train.

B, a box of apples, the quantity eaten and the remaining quantity.

The height of the object and the length of the shadow at the same time and place.

10, Xiaoming's height and weight ()

A, proportional to B, inversely proportional to C, out of proportion

Fourth, calculation:

1. Calculate the surface area of the following three-dimensional graph: 4 points.

2. Calculate the volume of the following stereogram: 8 points.

3. Recursive equation calculation: 12 points.

(7.5+2.5)×0.25 7 10- 18×4 5.4÷ 18+ 12

2÷85 ×2524 2.25× 1.8+ 12.5×0. 18 [ 1-( 12 + 13 )]×36

Verb (abbreviation of verb) Figure and operation (1 1)

1. As shown on the right, there is a rectangle: please measure its length and width.

Then according to the ratio of 15000, the actual length of its length and width is calculated.

And its actual area is how many square meters? (in centimeters)

(1+2+2 points)

2. The relationship between the number of notebooks bought and the amount of money is as follows:

Quantity/cost 0 1 2 3 4 5 6 7 …

Total amount/yuan 0 1.5 3 …

(1) Complete the table, trace the points in the chart according to the data in the table, and then connect them in sequence. ( 1+ 1)

(2) Which quantity has not changed? What is the ratio of quantity to total price? 1 point

(3) As can be seen from the figure, if you buy 9 notebooks, how much will it cost? 1 point

3. The cinema is 60 east of the central square, press the central square.

The actual distance is about 240 meters. Please mark the movies in the picture.

Location of the hospital. (2 points)

Six, solve the problem: 24 points

1. The bottom of the beverage can is cylindrical, with a diameter of 6 cm and a height of 10 cm. Put it in the carton as shown above. What is the minimum volume of this box?

2. Can the cup on the left hold 400 ml of Huiyuan juice?

3. A pile of conical sand, with a bottom circumference of 6.28m, a height of1.2m and a sand weight of1.5t per cubic meter. How many tons does this pile of sand weigh?

4. There is a stone in the glass jar, and the bottom area is 1.5 square decimeter, as shown in the figure. Water depth18cm. After taking out the stone, the water surface dropped to 15 cm. What is the volume of this stone?

5. What is the minimum area of iron sheet needed to make 20 cylindrical iron sheet ventilation pipes with a bottom radius of 5cm and a length of 40cm?

6. On the map with the scale of 1: 5000000, the distance from City A to City B is 9 cm. A car travels from city A to city B at a speed of 80 kilometers per hour. Can we get to B city in five hours?

VII. Additional questions:

1. After splicing two 2-meter-long cylinders with equal bottom areas into cylindrical steel, the surface area is reduced by 0.6 square decimeter. If the steel per cubic decimeter weighs 7.8 kilograms, how many kilograms does the spliced steel weigh?

2. Cut a cylinder and assemble it into an approximate cuboid. The surface area is increased by 6 square centimeters, and the height of the known cuboid is 3 centimeters. Find the volume of a cylinder.