Curriculum standard experimental teaching material, sixth grade, second volume, mathematics garden

Second, the cylinder and cone

First, choose one. (Fill in the serial number of the correct answer in brackets)

1, among the following objects, () is a cylinder.

A, B, C, D,

2. The volume of the cone is 36dm3, the bottom area is 18dm2, and the height is.

() Deutschmark.

a、23 B、2 C、6 D、 18

3. The following figure () is an enlarged view of the cylinder. (Unit: cm)

4. The one with the most drinks in the cup below is ().

5. The cone is () high and the cylinder is () high.

A, B, C, D and countless articles.

6. As shown in the picture, this cup () contains 3000ml of milk.

A, can b, can't c, can't judge.

Second, judge right or wrong.

() 1, the volume of a cylinder is generally greater than its surface area.

() 2. Two cones with equal base areas have the same volume.

() 3. The volume of a cylinder is equal to three times the volume of a cone with the same height as its bottom surface.

() 4. "How much iron sheet does it take to make a cylindrical ventilation pipe" is the lateral area of this cylinder.

() 5. Expand the side of the cone to get a rectangle.

Third, think about it, even for a while.

Fourth, fill in the form.

1, 2.8m3 = () cubic decimeter 6000ml = ()

3060 cubic centimeters = () cubic decimeter

5 square meters 40 square decimeters = () square meters

2. The radius of the cylinder bottom surface is 5cm, the height is 10cm, the bottom area is () cm2, the side area is () cm2, and the volume is () cm3.

3. Make a cylinder with a rectangular iron sheet with a length of 4.5 decimeters and a width of 1.2 decimeters. The transverse area of this cylinder is at most () square decimeter. (excluding interface)

4. The base and height of a cone and a cylinder are equal, and the volume of the cone is 76cm3, which is a circle.

The volume of the column is () cm3.

5. The diameter and height of the cone bottom are 6 cm, and its volume is () cm 3.

5. Find the volume below. (Unit: cm)

Sixth, solve the problem.

1, (1) How much paper does it take to make the side label of this potato chip cone?

(2) What is the volume of this potato chip cone?

On the construction site, there is a sand pile similar to a cone. The measured bottom diameter is 4m, and the height is1.5m. The weight of sand per cubic meter is about 1.7 tons. How many tons does this pile of sand weigh? (Keep the whole ton as a figure)

3. A cylindrical pool, the wall and bottom of the pool should be inlaid with tiles, the diameter of the pool bottom is 6m, the depth of the pool is 1.2m ... How many square meters is the tile area?

4. As shown in the figure, first fill container A with water, and then pour water into container B. How high is the water in container B? (Unit: cm)

Master Zhang wants to cut a cylindrical piece of wood (as shown on the right) into a cone.

What is the maximum volume of (1) truncated cone?

Please ask a math question and answer it.

Seven, expand the application.

A beverage can is cylindrical in shape, with a bottom diameter of 7cm and a height of 12cm. As shown in the picture, put 24 cans of this beverage into the box. What is the minimum length, width and height of this carton?

Shh, it's good to have a math network with everything: no, add me QQ 5 13955539.