The sixth grade primary school mathematics (Volume II) examination paper name class score 1. Fill in the blanks. (18) 1. The side development diagram of a cylinder is (). The diameter of the bottom of a cylinder is 2 cm, the height is 4 cm, and the side area of this cylinder is () square cm. 2. The distance from the apex of the cone to () is the height of the cone, and the height of the cone is (). 3. The diameter and height of the bottom of the cylinder are 8cm, its side area is () cm2, its surface area is () cm2 and its volume is () cm3. 4. The bottom diameter of the cone is 8 decimeters, the height is 6 decimeters, and the volume is () cubic decimeters. 5. Cylinders and cones with equal bottoms and equal heights, if the volume of the cylinder is 27 cubic centimeters, then the volume of the cone is () cubic centimeters; If the volume of a cone is 27 cubic centimeters, then the volume of a cylinder is () cubic centimeters. 6. The radius of the bottom surface of the cylinder is 3cm, and the side surface is square. The circumference of the bottom surface of this cylinder is () cm, the area of the side surface is () cm 2, and the volume is () cm 3. 7. The height of cylinder and cone is equal, and their volume difference is known as 16 cubic centimeter. The sum of their volumes is () cubic centimeters. 8. Cut a cylindrical piece of wood into the largest cone, and cut off part of the cone volume () and the cylinder volume (). 9. Fill three identical cylindrical containers with water and pour them into one cylindrical container with the same bottom area. The water level is 6 cm high. The height of each conical container is () cm. 10. A right-angled triangular cardboard with two right-angled sides of 3cm and 6cm respectively. When a three-dimensional figure rotates around a right-angled edge, the maximum volume is () cubic centimeters. Second, the judgment question. (4 points) 1. The conical volume is the cylindrical volume. ………………………………………………………………………………………………………………………………………………………………………………………………. If the volumes of cones are cylindrical, their bases and heights must be equal. The surface area of a cylinder with a bottom radius of cm and a height of cm is 2 ∏ (+) square cm. ....................................... () Third, multiple-choice questions. (4 points) 1. If the radius of the bottom surface of the cylinder is enlarged by 2 times and the height remains the same, its volume will be enlarged () a.2b.4c.82.. Cut a cylinder with 18 cubic centimeter to get the largest cone, and the volume of the cone is () cubic centimeter. 18。 The volume of a cylinder is larger than that of a cone with the same height as its bottom surface (). Glycosylated hemoglobin 2 times 4. The radius and height of the bottom surface of the cylinder and the cone are equal respectively. Their volume difference is 24 cubic decimeters, and the volume of a cylinder is () cubic decimeters. A. 8 B. 32 C. 36 Fourth, the calculation problem. (32 points) 1. Find the side area of the cylinder below. (unit: cm) 2. Find the surface area of each cylinder below. (1) The bottom radius is 3cm and the height is 8cm. (2) The diameter of the bottom surface is 6 decimeters and the height is 9 decimeters. 3. Find the volume of each shape below. V. Operation. (8 points) 1. Below is a rectangular piece of paper. If you rotate around the line segment, the volume of the cylinder is the largest; If the rotation on the line segment is taken as the axis, the volume of the cylinder will be the smallest. Please draw a line segment and a line segment on the picture. 2. The master worker cuts out a rectangular tinplate according to the following figure, and makes it into a cylindrical tinplate can (excluding the joint), so as to find the length-width ratio of this tinplate. (The shaded part is the remaining tin sheet after production. Sixth, the application problem. (34 points) 1. The roller length of the roller is1.6m and the diameter is 0.5m.. How many square meters of road surface has this roller rolled? 2. How many square decimeters of iron sheet does it take to make an open iron drum with a bottom diameter of 6 decimeters and a height of 8 decimeters? The height of the cylinder is 5 decimeters, and the lateral area is 62.8 square decimeters. What is its bottom area? What is the volume of cubic decimeter? 4. A conical wheat pile, with a base diameter of 6 meters and a height of 2.4 meters, weighs 1.2 tons of wheat per cubic meter. How many tons does this pile of wheat weigh? 5. Dig a cylindrical pool with a bottom diameter of 4m and a depth of 3m. Cement is coated around and at the bottom of the pool. What is the area of plastering part? How many cubic meters can this pool store? 6. Bundle a cylindrical cake with a bottom diameter of 30cm and a height of 10cm (as shown on the right). The bottom is cross-shaped and tied with a rope of 12cm. A * * *, how many centimeters of rope does it need? 7. Put a conical iron block with a bottom radius of 5 cm and a height of 6 cm into a cylindrical container filled with water and completely immerse it. As we all know, the inner diameter of a cylinder is 20 cm. How many centimeters will the water surface rise after the iron block is put into the water? Question: 1. The circumference of the bottom of the cone is 15.7 cm and the height is 3 cm. After cutting the cone in half along the height from the apex, how many square centimeters does the sum of its surface area increase compared with the original cone? 2. There are two cylindrical containers A and B, the bottom radius is 6 cm and 8 cm respectively, and the height is the same. Pour the water in container A into empty container B, the water depth is lower than the height of container B 1 cm, and find the height of the two containers.