I. Fill in the blanks:

1, the cylinder and the upper and lower surfaces are called, and they are exactly the same. There is a kind of cylinder called. The distance between the two bottom surfaces of a cylinder is called.

2. The side development diagram of a cylinder is generally a shape, its length is equal to the length of the cylinder, its width is equal to the width of the cylinder, and its side area is equal to the area of the cylinder.

3, the circumference of the cylinder bottom C= or C=

4. Transverse area of cylinder =

5, the bottom area of the cylinder S=

6. Surface area of cylinder =

Second, the calculation:

1, transverse area of cylinder:

1) d = 8cm h = 6cm

2) r=3m h= 1.5m

3) c = 25.12cm h = 8cm.

2. Find the surface area of the cylinder:

1) d = 20cm h =15cm

2) r = 4cm height = 4cm.

3)C = 50.24 cm h = 6 cm

3. Find the volume of the cylinder:

1) r=4cm，h= 10cm

2) d = 4cm, h = 5cm.

3) Bottom perimeter =25. 12m, h=8m.

4) Bottom area =9.42m2, h= 15dm.

Third, the application problems:

1, semi-cylindrical tin container, bottom diameter 10cm, height 15cm. How many square centimeters does it take to make this container?

2. Make a rectangular aluminum plate with a length of 52 cm and a width of 32 cm into a cylindrical container. The diameter and height of the bottom of the container are 16 cm. What is the area of the remaining aluminum plate in square centimeters?

16

16

3. A cylindrical iron drum without a cover (as shown in the picture)

1) How many square centimeters of iron sheet does it take to make this bucket?

35 cm

30cm

2) According to this calculation, how many square meters of iron sheets do you need to make 50 buckets?

Cylindrical exercise (2)

I. Fill in the blanks:

1. You can make an approximate cuboid by dividing a cylinder into several equal parts. The more equal parts, the closer you get to one. The bottom area of the approximate cuboid is cylindrical, and the height of the approximate cuboid is cylindrical.

2. Volume of cylinder =

3. The bottom of the cone is one, and the side of the cone is one. The distance from the apex of the cone to the center of the bottom surface is a cone, which is represented by. The side development diagram of the cone is one of them.

4. The volume of the cone is equal to 65438+ 0/3 of its equal base height.

V=

Second, the application problem:

1. There is a cylindrical wooden pier on its top and side, with a bottom diameter of 3 μm and a height of 3 μ m.. What is the area of the paint part?

2. Build a cylindrical biogas digester with a bottom diameter of 3m and a depth of 2m. The inner wall and bottom of the pool should be coated with cement. What is the area of plastering part?

3. Li Shifu made chimneys with a diameter of 1 decimeter and a length of 1 meter with iron sheets. How many square meters of iron sheet does it take to make 25 knots? (The joint is calculated as 1cm)

4. A square steel is 50 cm long and the bottom is a square with a side length of 20 cm. If it is forged into a cylindrical steel with a bottom area of 90 square centimeters, how long is this steel?

5. A cylindrical steel with a bottom area of 50 square centimeters and a height of 1.5 meters. How many cubic centimeters is its volume?

6. A thermos cup, measured from the outside, with a bottom diameter of 7 cm and a height of 18 cm.

1) What is the volume of this thermos cup in cubic centimeters?

2) It is known that the wall thickness of the thermos cup is 0.8 cm. How many milliliters of water can this thermos cup hold? (Keep the number as an integer) (1 ml water weight 1 g)

3) How many kilograms of water does it take to fill six such thermos cups?

7. A glass, measured from the inside, with a bottom radius of 10 cm and a height of 25 cm. The water in the cup is 15cm high. How many liters of water are there in the cup at this time?

8. Cylindrical diesel bucket, with an inner diameter of 4 decimeters and a height of 6 decimeters. Each liter of diesel oil weighs 0.85 kg. How many kilograms of diesel can this oil drum hold? (Figures shall be kept to two decimal places)

9. Cylindrical gasoline tank, measured from the inside, has a bottom radius of 3m and a height of1m.. How many kilograms of gasoline can this oil drum hold? (The weight of gasoline per liter is 0.74kg) (The figure should be rounded off)