1, the side length of the cylinder is () when it is expanded along the height of the side, and () when () and () are equal. Its length is equal to the length of the cylinder (), and its width is equal to the width of the cylinder (), so the lateral area of the cylinder = () × ().

2. The cylinder () is called the height of the cylinder. The cylinder is () high and the cone is only () high.

3. The shape obtained by rotating the length of a rectangle with a length of 8 cm and a width of 4 cm is (), and its surface area is ().

4. Cut vertically downwards along a diameter at the bottom of the cylinder, the cross section is a square with a side length of 6 cm, and its volume is () cubic centimeters, and the volume of a cone with the same height as its bottom surface is () cubic centimeters.

5. Cut a cylinder of wood into a new cone, and the volume of the cut part is 36 cubic decimeters, so the volume of this cone is () cubic decimeters.

6. When the radius of the bottom surface of the cylinder is enlarged by 3 times and the height remains unchanged, the perimeter of the bottom surface is enlarged by () times and the volume is enlarged by () times.

7. The height of cylinder and cone is equal, the volume of cone is 9 cubic decimeter, and the volume of cylinder is () cubic decimeter.

8, a cylinder and a cone bottom area and volume are equal, then their height ratio is ().

9. The volume of cuboid, cube and cylinder can be calculated by () × ().

10, the sum of the volumes of a cylinder and a cone with the same base and height is 100 cubic decimeter, and the volume of this cylinder is () cubic decimeter.

1 1, 2.6 square meters = () square decimeter 1900 ml = () liter.

4.8 liters = () cubic centimeters 250 square centimeters = () square decimeter.

0.5 points for each empty question.

Second, true and false 12 points

1, the volume of a cylindrical cup is its volume. ( )

2. If the cross-sectional areas of two cylinders are equal, their volumes are also equal. ( )

3. If the height of a cylinder remains the same, its bottom radius will be expanded by three times and its volume will be expanded by nine times. ( )

If the top and bottom of an object are the same circle and the side is curved, then the object must be a cylinder. ( )

5. The volume of a cylinder is equal to 3 times that of a cone. ( )

6. You can definitely get a cone by rotating one side of the triangle as the axis. ( )

Iii. Multiple choice questions 10 score

1. On a 4-meter-long cylindrical steel column, a 3 1.4-decimeter-long iron wire just circles the steel column 10. The volume of this steel column is () cubic decimeter.

a、3 1.4 B、 125.6 C、3 1400

2. What changes after a big cylinder is divided into two small cylinders is ().

A, the volume b of the cylinder, the surface area c of the cylinder, and the side area of the cylinder.

3. A cylindrical plasticine can be kneaded into _ _ _ _ _ conical plasticine with the same bottom and height.

a、 1 B、2 C、3 D、4

4, a 6 meters long cylindrical wood, cut it into three equal parts on average, the surface area increased by 20 square decimeters, then the volume of cylindrical wood is ().

A, 30 cubic meters b, 300 cubic decimeters 600 cubic decimeters c, unable to calculate.

5, making a cylindrical oil drum, at least how many square meters of iron ().

A, volume b, transverse area c, surface area

4. Calculate the surface area and volume of the following shape (cone does not count surface area): 15.

Height is 22CM.

Bottom diameter 16CM.

Verb (abbreviation for verb) problem solving: 37 points.

1. Master Zhou made six sections of cylindrical ventilation pipes with the same size, each section was 12 decimeter long and the bottom radius was 6 cm. A * * *, how many square decimeters of iron sheet do you need? (Keep one decimal place) 5 points.

2. The bottom surface of the cylindrical reservoir has an inner diameter of 3m and a depth of 2m. The inner wall and bottom surface of the reservoir are coated with cement. What is the area of plastering part? If you use 8 kilograms of cement per square meter, how many kilograms of cement does * * need? 6 points

3. The cone-shaped sand pile has a volume of 47. 1 m3 and a height of 5m. How many square meters is this sand pile? 4 points

4. Rotate around a right edge of an isosceles right triangle (as shown below) to get a three-dimensional figure. What is the volume of this three-dimensional figure? (Keep two decimal places) 4 points.

5. It is known that the bottom circumference of conical grain pile is 25. 12m and the height is 3m. If every cubic meter of millet weighs 750 kilograms, how many tons is this pile of millet? 6 points

6. The roller of the road roller is a cylinder, with a width of 1.6m and a cross-sectional diameter of1.2m. How many square meters of road surface can it press for 10 cycles per minute? 6 points

7. The cylindrical iron block with a bottom radius of 6 cm and a height of 12 cm is melted and recast into a cone with a bottom radius of 9 cm. What is its height? 6 points

Reference answer

1. 1, rectangle, height, bottom perimeter, square, bottom perimeter, height, bottom perimeter × height.

2, the distance between the two bottoms, countless, one.

3. Cylinder, 30 1.44 cm2.

4、 169.56 56.52

5、 18

6、3,9

7、27

8、 1:3

9. Bottom area × height

10、75

1 1、260 1.9 4800 2.5

Second, xx ∩××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××××

Three. A, B, C, A, C.

4. S table =1105.28+401.92 =1507.2 square centimeter v column =442 1. 12 cubic centimeter.

V-cone =3 14 cubic centimeter

Verb (abbreviation of verb) 1, 2× 3.14× 0.6×12× 6 = 271.296 square decimeter ≈27 1.3 square decimeter.

2.3. 14×(6÷2)×(6÷2)+3. 14×6×2×8 = 527.52kg。

3.47. 1×3÷5=28.26 square meters

4,3.14× 4× 4 ÷ 3 ≈ 66.99 square decimeter

5, 3. 14 × (25. 12 ÷ 3. 14 ÷ 2) × (25. 12 ÷ 3. 14 ÷ 2) × 3 ÷ 3 × 77;

6.3. 14× 1.2× 1.6× 10×60 = 36 17.28 m2。

7. (3.14× 6×12) ÷ (3.14× 9× 9÷ 3) =16 cm.