1. Use a rectangular piece of paper with a length of 3 1.4 cm and a width of 20 cm to form a cylinder. The length of this paper is a cylinder () and the width is a cylinder (). The side area of the cylinder is ().

2. The radius of the cylinder bottom surface is 2cm and the height is 10cm. Its side area is () square centimeters.

3. The bottom radius of the cylinder is 1 decimeter, the height is 3 decimeters, and its surface area is () square decimeter.

4. The side area of the cylinder is 240 square centimeters and the height is 5 centimeters, so the circumference of the bottom of the cylinder is ().

5. For cylinders and cones with equal bottom area and height, the volume of cylinder is 15 cubic decimeter, and the volume of cone is ().

6, a cylinder with a bottom area of 6.28 square centimeters is cut into two cylinders with the same size, and the surface area is increased ()

7, a cone, the bottom area is 24 square decimeter, height is 30 cm, then the volume of the cone is () cubic decimeter.

8. The lateral area of the cylinder is 12.56 cm 2, the height is 8 cm, the perimeter of the bottom surface is () cm, the radius of the bottom surface is () cm, the area of the bottom surface is () cm 2, and the surface area is () cm 2.

9. Enclose a column with a square paper with a side length of 5 cm. The height of this column is () cubic centimeters.

10. The perimeter of the bottom of a telephone pole is 50.24 cm, and the height is 10 m. This telephone pole covers an area of () square centimeters.

1 1. Cylinders and cones have the same base and height. If the volume of the cone is 30 cubic decimeters smaller than that of the cylinder, then the volume of the cone is () cubic decimeters and the volume of the cylinder is ().

12, if the volume of the cone is constant, the bottom area of the cone is proportional to the height ().

13, the bottom area of a cylinder is 1.2 square decimeter, the volume is 60 cubic centimeters, and the height is () centimeters.

14. The volume of a cone is equal to the volume of a cylinder with the same base height. If the volume of the cone is 9.6 cubic decimeter, then the volume of the cylinder is () cubic decimeter.

15, the bottom area and height of cylinder and cone are equal. Known cylinder volume is 6 cubic meters, the volume of the cone is (); If the volume of the cone is 6 cubic meters, then the volume of the cylinder is ().

16, the bottom and height of cylinder and cone are equal, the volume of cone is 36 cubic centimeters smaller than that of cylinder, and the height of cylinder is ().

17, the radius of the bottom of a cone is enlarged by 2 times, and the height is reduced to half of the original, and its volume is the original volume ().

18, the volume of a cylinder is cubic meters, and the volume of a cone with equal bottom and equal height is ().

19, the height of a cone is 1.5m, the perimeter of the bottom is 12.56m and the volume is ().

20, the volume of the cylinder increased by 2 cubic meters, then the volume of the cone with the same bottom height is ().

Second, the judgment question

1. The distance between the two bottoms of a cylinder is the height of the cylinder, and there are countless. ( )

If a cube and a cylinder have the same circumference and height, their volumes are equal. ( )

3. The radius of the bottom surface of the cylinder is enlarged by 2 times, the height is reduced by 2 times, and the volume is unchanged. ( )

4. The diameter and volume of the cylinder are increased by three times. ( )

The volume of a cylinder is as big as its volume. ( )

6. The height of a cylinder is 3 cm, and the height of a cone with the same base and height is 9 cm. ( )

7. A cone with the same base and height is smaller than a cylinder. ( )

8. A cylinder with the same base and height is larger than a cone. ( )

9. The height of a cylinder is 6 cm, which is equal to its volume. The height of a cone with the same bottom radius is 18 cm. ( )

10. The volume of a cone is always smaller than that of a cylinder. ( )

Third, multiple choice questions

1. Volume of cylindrical barrel () volume.

A is equal, b is greater than c and less than d, so it is impossible to determine.

2. The radius of the cone bottom is 2 cm, the height is 3 cm, and the rigid volume is () cubic decimeter.

A 37.68 B 0.03768 C 12.56。 D 0.0 1256

3, a cylinder, the bottom circumference of 37.68 cm, 2 cm high, its volume is ().

A 74.36 cubic centimeters B 226.08 cubic centimeters C 76.36 cubic centimeters

4. The side length of a cube is 6 decimeters, and the surface area is () square decimeters.

A 36 B 2 16 C 72 D 108

5, a cone and a cylinder, the bottom area and volume are equal, the height of the cone is 9 decimeters, and the height of the cylinder is ().

A 3 decimeter B 27 decimeter C 9 decimeter D 34 decimeter

6. If the volume ratio of two cones and cylinders with equal base radii is 1: 4 and the height of the cylinder is 8 cm, then the height of the cone is ().

A 2 cm B 6 cm C 18 cm D 5 cm

7. How many liters of water can a cylindrical bucket without a lid hold? Just ask for it ().

A surface area b volume c volume d can be said to be both volume and volume.

8. Cut a cylindrical rod into the largest cone, and the volume of the cut part is the original cylindrical rod ().

twice

9. The heights of two cones are equal, and the radius of the bottom of cone A is twice that of cone B. Then the volume of cone A is the volume of cone B ().

A 2 times B 4 times C 6 times D 8 times

10. The height of the cylinder is unchanged, the radius of the bottom surface is enlarged by 2 times, and the volume is enlarged by () times.

A 2 B 3 C 4 D 8

Fourth, calculation

Verb (abbreviation of verb) application problem

1, a cylinder with a bottom radius of 0.2m and a height of 35 decimetres, what is its lateral area in square decimetres?

2. A cylinder with a circumference of 25. 12 cm at the bottom and a height of 5 cm. What is the surface area of this cylinder?

3. Make a cylindrical fish tank with a bottom diameter of 6 decimeters and a height of 5 decimeters.

(1) How many square decimeters of glass does it take to make this fish tank? (Numbers are reserved as integers)

(2) How many kilograms of water can this fish tank hold when it is full? (1 liter weight 1 kg, the number is reserved as an integer)

4. There are two cylinders with the same radius at the bottom. The height ratio is 3: 5. The volume of the first cylinder is 48 cubic centimeters. How many cubic centimeters is the volume of the second cylinder more than that of the first cylinder?

5. A cylindrical corn barn, measured from the inside, has a bottom circumference of12.56m, a height of 4m and a corn weight of 560kg per cubic meter. How many kilograms of corn can this corn box hold? (Numbers are reserved as integers)

6. A pile of coal is conical, with a bottom diameter of 4 decimeters and a height of 1.2 meters. What is the volume of this pile of coal? If each cubic meter weighs about 1.4 tons, how many kilograms is this pile of coal? (Numbers are reserved as integers)

7. Cylindrical teacups with bottom diameter 12 cm and height 15 cm. How many cubic centimeters of water can this teacup hold?

8. There is a cylindrical steel with the height of 15m and the height of the side area of 14. 13m2. What is the weight of this cylindrical steel? (Steel weighs 7.8 grams per cubic centimeter)

9. The volume of a conical object is 6.28 cubic decimeter, and the bottom area is 3. 14 square decimeter. What is the height of the cone?

10, conical wheat pile, bottom circumference12.56m, height10.2m.. If each cubic meter of wheat weighs 720 kilograms, how many kilograms is left when this pile of wheat is sent to the grain depot? (Numbers are reserved as integers)