68 cubic decimeter = () liter 4000 ml = () cubic centimeter.
2. Use a rectangular piece of paper with a length of 18cm and a width of 8cm to form the largest cylinder, and the side area of the cylinder is () cm2.
3. Cylinders and cones with equal bottoms and equal heights. It is known that the volume of a cone is 3 cubic meters and the volume of a cylinder is ().
4. A cylinder with a bottom circumference of 12.56 cm, a height of 5 cm and a lateral area () square cm.
5. The radius of the cone bottom is 2 decimeters, the height is 3 decimeters, and the volume is () square decimeters.
6. A conical container filled with water, with a water depth of 30cm. Pour all the water into a cylindrical container with the same height as its bottom, and the water depth is () cm.
7. Cones and cylinders have the same bottom and height. It is known that the volume of the cone is 36 cubic decimeter smaller than that of the cylinder, so the volume of the cylinder is () cubic decimeter and the volume of the cone is () cubic decimeter.
8. The ratio of the bottom radius of two cylinders with a height of 18cm is 5: 4, and the ratio of their volumes is (): ().
9. The transverse expansion of the cylinder is a square, and the side length of this square is 6.28 cm. Then, the radius of the bottom of this cylinder is () cm.
10. The bottom circumference of a cylindrical wood is 12.56 decimeter and the height is 4 meters. If you cut it into three small cylinders, the surface area will increase by () square decimeter.
Second, the judgment question. (10) (Please tick "√" for the right and "×" for the wrong. )
1. The volume of a cylinder with the same base and height is twice that of a cone. ( )
2. Cubes, cubes, cylinders and cones with the same bottom and height have the same volume. ( )
3. The area at the bottom of the cylinder is enlarged by 2 times, and the volume is also enlarged by 2 times. ( )
4. The side areas of two cylinders are equal, and the volumes must be equal. ( )
How many liters of water can a cylindrical bucket hold is to find the volume of this bucket. ( )
Choose the serial number of the correct answer to fill in the blanks. (10)
1. Dig a cylindrical oil pool with a depth of 2m and a bottom radius of 1m on the ground. The area of this oil pool is
() square meters.
3. 14
2. If the side of the cylinder is square, then the height of the cylinder is the diameter of the bottom.
() times.
A.3. 14 B.6.28 C
3. How many pieces of iron are needed to make a cylindrical chimney is the chimney's ().
A. surface area B. transverse area C. volume
4. Cylindrical plasticine with a bottom area of 12 cm and a height of 15 cm. If you knead it into a cone with the same size at the bottom, the height of the cone is () cm.
A. 15
5. Cut the cylinder into the largest cone, and the cutting volume is the volume of the original cylinder ().
A. BC
Fourth, calculation.
1, parting calculation. (4 points for each small question, *** 16 points)
204×4.5-574 7- × -
5×( + )- [ -( + )]÷
2, fill in the form (10)
three-dimensional
chart
radius
diameter
Bottom circumference
high
border area/region
superficial area
roll
column
4 cm
2 cm
column
1.256m.
0.3768 m
circular cone
3 cm
5 cm
Verb (abbreviation of verb) practical application. (***36 points. . )
1, cylindrical iron drum without cover, with a bottom diameter of 20 cm and a height of 25 cm. How many square centimeters does it take to make such a bucket? (6 points)
2. How many square centimeters of iron sheet should be used to make a cylindrical ventilation pipe with a bottom diameter of 30 cm and a length of 60 cm? (6 points)
Can this cup hold 1000 ml of milk? (6 points)
4. Conical grain pile, height 1m, bottom circumference 18.84m, rice weight 1.2 tons per cubic meter.
How many square meters does (1) cover? (3 points)
How many tons does this pile of rice weigh? (5 points)
5. Cast a rectangular lead block with a length of 50 cm, a width of 30 cm and a height of 10 cm into a cone with a base diameter of 20 cm. What is the height of this cone? (Keep the number of whole centimeters) (6 points)
Happy promotion.
There is an alcohol bottle, the bottle body is cylindrical (excluding the bottleneck), and the volume of the whole alcohol bottle is 30 cubic decimeters. There is some alcohol in the bottle now. The height of alcohol when placed upright is 20 cm, and the height of alcohol when placed backward in other time and space is 5 cm (see the right picture). How many cubic decimeters of alcohol are there in the bottle? (Ignore the thickness of the bottle)