I. True or false: Mark "√" for the right and "×" for the wrong. 10%
1. A cuboid with equal base and equal height has the same volume as a cylinder. ( )
A cylindrical glass can hold 1 cubic decimeter of water, so we say that the volume of the glass is 1 liter. ( )
The surface areas of two cylinders are equal, and their volumes must be equal. ( )
4. The bottom area of the cone is enlarged by 2 times, the height is unchanged, and the volume is enlarged by 4 times. ( )
5. The volume of a cone with equal base and equal height is smaller than that of a cylinder. ( )
Second, multiple choice questions. Fill in the brackets with the serial number of the correct answer. 20%
1. The calculation method of cylindrical lateral area is indicated by the letter ().
①πrh ②πdh ③πr2h
2. The diameter of the cylinder bottom is 16cm and the height is 16cm. After its side is unfolded, it is a ().
① Circle ② Rectangular ③ Square
3. A log is sawed into three sections, with one * * * and one () face.
①2 ②3 ③4 ④6
The volume of a cone is 12.56 cubic centimeters, which is () cubic centimeters smaller than a cylinder with equal bottom and equal height.
①6.28 ② 12.56 ③25. 12 ④37.68
5. Cones and cylinders with the same bottom radius, the volume of the cone is a cylinder, and the height of the cylinder is 6 cm, so the height of the cone is () cm.
①2 ②6 ③ 12 ④ 18
6.( 1) How much iron sheet does it take to make a cylindrical pipe? Find out the () of the pipe.
(2) How much iron sheet does it take to make a cylindrical diesel bucket? Find the () of the oil drum.
(3) How much water a cylindrical bucket can hold is the requirement of the bucket ().
(4) How many cubic decimeters of a cylindrical iron bar is this iron bar ().
① Surface area ② lateral area ③ Volume ④ Volume.
7. Fill a 36 cm high conical container with water and pour it into a cylindrical container with the same height as the bottom. The height of water is () cm.
①36 ② 18 ③ 16 ④ 12