Su teaches printing plate 6 (below) mathematics unit 2 examination paper.

Grade (cylinder and cone) _ _ _ _ _ _ _ _

First, read the questions carefully and fill them in carefully. (per grid 1 min, ***2 1 min)

1. Along the high shear of the cylinder, the edge is expanded to get a (), and one side of it is equal to the () of the cylinder.

The other side is equal to the cylinder ().

2.8050ml =()l()ml； 5.4 square decimeter = () square centimeter

2.8 cubic meters = () cubic decimeter; 5 square meters 40 square decimeters = () square meters

3. Cut a cylindrical piece of wood into the largest cone, and the cut part is () times the volume of the cone.

4. The circumference of the bottom of a cylinder is 12.56 cm and the height is 5 cm. What is its side area? ) Square

Cm, surface area () square cm, volume (? ) cubic centimeters.

5. The rectangle is 5cm long and 4cm wide. If you rotate around the width axis to get a three-dimensional figure, you must

What you get is (), and the volume of this graph is () cubic centimeters.

6. The conical container filled with water is 9 cm high. If all the water is poured into a cylindrical container with the same bottom and height.

In the container, the height of water is () cm.

7. To make a chimney with a bottom diameter of 10 decimeter and a length of 40 decimeters, you need at least () square decimeter of iron sheet.

8. The volume difference between a cylinder with equal bottom and equal height and a cone is 16 cubic meter. The volume of this cylinder is ().

Cubic meters, the volume of the cone is () cubic meters.

9. A cylindrical tank with a height of 1 decimeter and a bottom circumference of 6.28 decimeter. There is a label on the side of the jar.

The maximum product is () square decimeter, and the tin can should be at least () square decimeter.

10. Cut a 4-meter-long cylindrical wood with a cross-sectional radius of 2 decimeters into 5 sections with the same length and larger surface area.

Increase () square decimeter.

Second, think wisely and judge right and wrong. (Mark "√" for the right and "×" for the wrong. 2 points for each question, *** 12 points)

1. "How much iron sheet does it take to make a cylindrical ventilation pipe" is the lateral area of this cylinder. ………………( )

2. The volume of a container is its volume. ……………………………………………( )

3. The volume of cuboid, cube and cylinder can be expressed by the bottom area × height. …………………( )

4. The figure produced by the rectangle rotating around one side is a cylinder. ………………………………( )

5. The distance from the apex of a cone to any point on the bottom surface is its height. ……………………………( )

6. Cut a section of cylindrical steel into the largest cone, and the cut part is twice the volume of the cone. ( )

Third, compare repeatedly and choose carefully. (2 points for each space, *** 14 points).

1. The following figure () is an enlarged view of the cylinder. (Unit: cm)

2. Find out how much water is in the cylindrical bucket, that is, find the bucket ().

A. Transverse area B. Surface area C. Volume D. Volume

3. Xiaojun made a cylindrical container and several conical containers, the dimensions of which are shown in the following figure (unit:), which can

The water in the jar is poured into the cone (), which is just full.

4. In the figure below, if you rotate with a straight line as the axis, you can get that the cylinder is () and the cone is ().

A B C D

5. A cylindrical cup is filled with 15 liter of water, and an iron cone as high as the bottom of the cup is poured into the water. The cup also

There is () water.

A.5 L B.7.5 L C. 10 L D.9 L.

6. Divide the bottom of a cylinder into several sectors on average, and then cut it into an approximate cuboid. Below/below/below

Which sentence is correct? ( )

A. the surface area and volume have not changed. B. the surface area and volume have changed.

C. the surface area has changed, but the volume has not changed. D. the surface area has not changed, but the volume has changed.

Fourth, observe the figure and calculate it carefully. (12)

1. Find the surface area and volume of the cylinder according to the conditions. (Unit: cm) (8 points)

2. Find the volume of the cone according to the conditions. (Unit: cm) (4 points)

V. Hands-on practice, operation and application. (6 points)

Please make a cylindrical barrel without a lid. There are several types of iron sheets to choose from.

(1) The materials you selected are () and ().

(1), (2), (3) and (4)

(2) How many kilograms of water can a bucket made of the material you choose hold at most? (1 liter weight 1 kg)

Sixth, apply what you have learned and solve problems flexibly. (***35 points)

1.( 1) How much paper does it take to make the side label of this potato chip cone? (5 points)

(2) What is the volume of this potato chip cone? (4 points)

2. A cylindrical pool, the wall and bottom of the pool should be inlaid with tiles. The diameter of the bottom of the pool is 6m, the depth of the pool is1.2m. How many square meters is the tile area? (6 points)

3. There is a cone-shaped sand pile on the construction site, with a bottom diameter of 4m, a height of 1.5m ... and a sand weight of about 1.7 tons per cubic meter. How many tons does this pile of sand weigh? (Keep the whole ton as a figure) (6 points)

Master Zhang wants to cut a cylindrical piece of wood (as shown on the right) into a cone. What is the maximum volume of the cutting cone? (6 points)

5. The beverage can is cylindrical in shape, with a bottom diameter of 7cm and a height of 12cm. Put 24 cans of such drinks into a rectangular carton (as shown below).

(1) What is the minimum length, width and height of this carton? (4 points)

What is the minimum size of this carton? (4 points)

20 12 not found. This is my own reference in 20 1 1.