A, fill in a fill (2 points for each question, ***20 points).
1，6000ml = () L 5 m2 40 m2 = () m2。
2. The radius of the cylinder bottom surface is 5cm, the height is 10cm, the bottom area is () cm2, the side area is () cm2, and the volume is () cm3.
3. If Y= X/4, x and y are directly proportional to (), Y= 4/X, and x and y are directly proportional to ().
4. Cone and cylinder have the same bottom and height. The volume of the cone is 76cm3, and the volume of the cylinder is () cm3.
5. The diameter and height of the cone bottom are 6 cm, and its volume is () cm 3.
6. The volume of a cone and a cylinder is the same, the height of the cone is 12cm, and the height of the cylinder is () cm.
7. The base height of a cone and a cylinder is the same, and the volume difference is 20 square centimeters, so the volume of a cylinder is ().
8. A map showing the actual distance of 20 kilometers and the length of 5 centimeters. The scale of this map is (). If the actual distance between the two places is 120km, then () cm should be drawn on this map.
9. There are two scales () and (), 1:5600000 means (
)。
10, the side length of the cylinder is expanded into a square, the side length of this square is 12.56 cm, and the volume of this cylinder is ().
Second, judge right or wrong. (Mark "√" for the right and "×" for the wrong, **5 points)
() 1 1. The volume of a cylinder is usually greater than its surface area.
() 12. The volume of a cylinder is three times that of a cone.
() 13. Expand one side of the cone and you will get a rectangle.
() 14, "How much iron sheet does it take to make a cylindrical ventilation pipe" is the lateral area of this cylinder.
() 15. Two cones with the same bottom area have the same volume.
Three, multiple-choice questions (2 points for each question, *** 10)
16, with high-dimensional diagram ()
A, cylinder b, cuboid c, cone
17, a job, it takes 8 days for Party A to do it alone, and it takes 10 days for Party B to do it alone. The work efficiency ratio of Party A and Party B is ().
a、8 : 10 B、4 :5 C、 1 10 : 18 ④5 :4
18, the bottom diameter of a cylinder is 0.5m, and the height is 1.8m, so its side area is () m2.
A, 9 B, 2.83 C, about 2.83
19, look at the order to find the law -3, 6, -9, 12,-15, 18... 1007. What are the numbers?
a 、- 1007 B、3007 C 、-302 1
20,3a =18b, then A:B= ()
a、3: 18 B、 18 :3 C、 1:24 D、24: 1
Four, calculation (22 points)
2 1, the number written directly (10 points)
5- 1.4-2.6=
22. Calculation of parting: (6 points)
23. Simple calculation: (3 points) 24. Resolution rate: (3 points)
5. Find the volume below. (12 point, unit: cm)
Sixth, solve the problem. (16)
24.( 1) How much paper does it take to make the side label of this potato chip container?
(2) What is the volume of this potato chip cone?
25. On the construction site, there is a sand pile similar to a cone. The measured bottom diameter is 4m, and the height is1.5m. The weight of sand per cubic meter is about 1.7 tons. How many tons does this pile of sand weigh? (Keep the whole ton as a figure)
26, a cylindrical pool, the wall and bottom of the pool should be set with ceramic tiles, the diameter of the pool bottom is 6 meters, and the pool depth is 1.2 meters. How many square meters is the tile area?
27. As shown in the figure, first fill container A with water, and then pour water into container B. How high is the water in container B? (Unit: cm)
Seven, expand the application. (15)
28. A car left in three hours 135km. According to this calculation, how many hours does it take to drive 3 15km? (Proportional solution) (4 points)
29. Cast a cylindrical steel with a radius of 3 cm and a length of 12 cm into a cone with the same bottom. What is the height of the cone? (4 points)
30. As shown below: Try to cut this cylinder into two equal halves, and the surface area will be larger after cutting.
Less? (at least two methods) (7 points)