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Beijing normal university printing plate sixth grade mathematics volume 3 unit examination paper
First, fill in the blanks.

1. There is a cylinder with a height of 6 cm and a bottom area of 12.56 cm. The volume of this cylinder is ().

2, a cylinder, the bottom circumference is 365438 0.4 cm, the side area is 2565438 0.2 cm, its surface area is ().

3, the volume of the cone is 9.42 cubic decimeter, and the volume of the cylinder with the same height as its bottom surface is ().

4, a cone, the bottom area of 12.56 square decimeter, volume of 310.4 cubic decimeter, its height should be ().

5. To make a chimney with a bottom diameter of 10 cm and a length of 95 cm, at least a rectangular iron sheet with a length of () cm and a width of () cm is needed.

6. The height and volume of cylinder and cone are equal, so the bottom area of cylinder is () of the bottom area of cone.

7. Process a cylindrical piece of wood into a cone with equal bottom and equal height, and the volume of the cut part is the volume of the cylinder ().

Second, the judgment question.

1, and the volume of the cone is smaller than that of the cylinder with equal base height. ( )

2. If the bottom area of a cone remains the same, its height will expand 3 times and its volume will expand 3 times. ( )

3. To cut a cube into a new cylinder, the cube must be cut off. ( )

4. The radius of the cone bottom is 9 cm, the height is 1 decimeter, and the volume is 1=84.78 (cubic centimeter).

Third, the application problem.

1. There is a cylinder with a radius of 5cm and a height of 80cm at the bottom. Find its surface area.

2. The circumference of the cylinder bottom surface is 25.12cm, and the height is10cm. Find the surface area and volume of this cylinder.

3. Make a cylindrical iron drum without a cover, with a bottom radius of 25 cm and a height of 50 cm. How many square centimeters of iron does it take to make such a barrel?

4. A cylindrical earthen granary, measured from the inside, with a bottom diameter of 6 meters and a capacity of 56.52 cubic meters. What is the height of the meter?

5. There is a conical wheat pile. Bottom circumference12.56m and height1.2m.. If wheat weighs about 740 kilograms per cubic meter, how many kilograms does this pile of wheat weigh?