First, fill in the blanks. (2% per space, * * * * 32%) 1, a cubic container with a side length of 10 decimeter is filled with water, and then poured into a conical container with a bottom area of 20 square decimeters. The height of this conical container is () decimeter. 2. Cut a cubic steel grating with a side length of 10 decimeter into the largest cylinder with a volume of () cubic decimeter. 3. A conical sand pile with a radius of 2m at the bottom and a height of 1.5m can be used to pave a road with a thickness of 2cm on a 6m-wide road, which can pave () m ... 4. To cut a cylinder with a volume of 2 16cm3 into the largest cone, it is necessary to cut off () cm3. 5. The sum of the volumes of cylinders and cones with equal bottoms and equal heights is 200 cubic decimeters, the volume of cylinders is () cubic decimeters, and the volume of cones is () cubic decimeters. 6. The cylindrical plexiglass rod has a volume of 56cm3 and a bottom area of 4cm3. Average cut into five sections, each section is () cm long, and the surface area is increased by () cm3. 7. The volume of the cone is 62.8 cubic decimeters, the radius of the bottom is 4 decimeters, and the height of this cone is () decimeters. 8.42 iron cone can be cast into a cylinder with equal bottom and equal height. 9. The cylinder is () high and the cone is () high. 10, 10 decimeter high cylinder is composed of two identical cylinders, and the surface area is increased by 50.24 square decimeter after separation. The original volume of the column is (). 1 1, the radius of the bottom surface of the cylinder is enlarged by 6 times, the height is unchanged, the area of the bottom surface is enlarged by () times, the perimeter of the bottom surface is enlarged by () times, the area of the side surface is enlarged by () times and the volume is enlarged by () times. Second, choose. (2% for each small question, * * * * 20%) 1, the radius and height of the bottom of the cylinder are all expanded by three times, and its volume is expanded by () times. A.3b.6c.9d.272 The volume and bottom area of the cylinder are equal to those of the cone, and the height of the cylinder is the height of the cone (). A.3 times B.2 times C. 3, a bottle can hold 500 ml of oil, so we say that the () of this bottle is 500 ml. A. volume B. volume C. weight 4 The height is equal, and the circumference of the bottom is equal. The largest volume is (). A. cuboid B. cone C. cylinder 5. A cylindrical wood with a length of 1.5 m was cut into four sections, and the surface area was increased by 24 square centimeters. The volume of raw wood is () cubic centimeters. A.450b.600c.66 What changes after a big cylinder is divided into two small cylinders are () a, the volume b of the cylinder, the surface area c of the cylinder, and the side area 7 of the cylinder. How much road surface can be pressed by the front wheel of the road roller in one revolution refers to () a, the volume of the front wheel b, the surface area of the front wheel c and the lateral area of the front wheel 8. The volume of the cone is 3 1.4 cubic decimeter, the diameter of the bottom is 2 decimeter, and the height is () decimeter. a， 10 B，30 C，609。 Expand the sides of the cylinder to get a square with a side length of 4 decimeters. The volume of this cylinder is () cubic decimeter a, 16 B, 50.24 C, 100.45438+00. Knead a ball of cylindrical plasticine into a cone with the same bottom and raise it to (). A, expand by 3 times b, shrink by 3 times c, expand by 6 times d and shrink by 6 times III. The application of mathematics. (38%) 1, cylindrical oil drum, measured from the inside, with a high bottom diameter and a height of 60 cm. Can this oil drum hold 80 liters of oil? (4%) 2. There are 10 columns in the hall, with the bottom circumference and height of 2.5m and 6m respectively. Paint the surface of these columns, with an average of 0.5 kg of paint per square meter. * * How much paint do you need? (4%) 3. The roller of the roller is cylindrical, with a length of 2m and a cross-sectional radius of 0.5m.. If the wheel rotates 15 times per minute, how many meters can it advance in (1)3 minutes? (2) How many square meters of road can you press in 3 minutes? (6%) 4. On the threshing floor, there is an approximately conical wheat pile. The measured bottom diameter is 4m and the height is1m. Wheat weighs about 735 kilograms per cubic meter. How many kilograms is this pile of wheat? (Keep the whole ten kilograms. (6%) 5. A cylindrical pool with a diameter of 20 meters and a depth of 4 meters. What is the area of this swimming pool? (2) How many cubic meters does it take to dig this pool? (3) spread a layer of cement on the inside and bottom of the pool. What is the surface area of cement? (6%) 6. Zheng Wanyong made a cylinder with a bottom diameter of 8 cm and a height of 9 cm. If converted into a cone with a height of 12 cm, what is the bottom area of the cone? (6%) 7. The height of the cylinder is 10 decimeter, and the volume is 12.56 cubic decimeter, which is 3. 14 cubic decimeter more than the volume of the cone with the same bottom. What is the height of this cone? (6%) 4. Operation (10%) How many ways are there to enclose a complete exercise paper into a cylinder? (Sketch, 4%) Compare the similarities and differences between two cylinders (6%) Fill in the blanks with the same points and different points, judge the total self-evaluation score of calculation operation, and reflect on the real score.