Name: Grade:

I. Fill in the blanks:

( 1) 2.6m = () cm 48m = () m。

7.5 square decimeter = () square centimeter

9300 square centimeters = () square meters

(2) The side area of the cylinder is equal to () times the height.

(3) The area of the cylinder plus the area of () is the surface area of the cylinder.

(4) Calculate how many pieces of iron are needed to make a cylindrical tea cone, and calculate the cylindrical shape ().

(5) Calculate how much iron sheet is needed to make a cylindrical chimney, and calculate the () of the cylinder.

(6) Calculate how many iron sheets are needed to make a cylindrical bucket without a cover, and calculate the () of the cylinder.

(7) A cylinder with a height of 8cm, a side surface area of 200.96cm2 and a bottom surface area of ().

(8) Cut a cylinder with a bottom area of 15.7 square centimeters into two cylinders with the same size, and increase the surface area by () square centimeters.

(9) Cut a cylinder with a diameter of 4 cm and a height of 5 cm into two semi-cylinders along the bottom diameter, and increase the surface area by () square centimeters.

(10) saw a cylindrical wood with a diameter of 20cm and a length of 2m into the same three sections, and the surface area increased by () cubic centimeters.

Second, the application problem.

(1) Make a cylindrical chimney with iron sheet, 2.5m long and1.5m wide. What is the side area of this chimney? (Ignored at the interface)

(2) A cylindrical bucket without a cover, with a bottom diameter of 60 cm and a height of 40 cm. How many square decimetres of iron sheet does it take to make such a barrel? (Numbers are reserved as integers)

(3) A cylindrical water tank with an inner radius of 2m and a height of1.5m. What is the area plastered around and on the bottom of the tank?

(4) A cylindrical tin box with a bottom radius of 2 decimeters and a height of 5 decimeters. How many square meters of paper does it take to stick the trademark paper on the side of this box?

(5) The section diameter of a roller is 1 m and the length is1.8m. How many square meters of road can a circle crush? Turn eight times a minute, how many square meters of road can you press in half an hour?

(6) The side area of the cylinder is 37.68 square centimeters, and the radius of the bottom surface is 3 centimeters. How many centimeters is its height?

(7) The side area of the cylinder is 12.56 square meters, and the radius of the bottom surface is 4 decimeters. What is its height?

(8) The cylinder is 9 decimeters high and its lateral area is 226.08 square decimeters. How many square decimetres is its bottom area?

(9) A cylinder whose side is a square with a side length of 62.8 cm. What is the surface area of this cylinder?

(10) How many iron sheets do you need to make five cylindrical ventilation pipes with a bottom diameter of 2 decimeters and a length of 8 decimeters?

(1 1) There are six large columns in the lobby of a hotel, with a height of 10 meter and a circumference of 25. 12 decimeter. All need painting. If the painting cost per square meter is calculated in 80 yuan, how much will it cost?

Exercise (2) Volume exercises of cylinders and cones

Name: Grade:

First, fill it out.

1. The side of the cylinder is one () and the bottom is two equal ().

2. The diameter of the bottom of the cylinder is 5cm, the height is10cm, and its side area is () cm2.

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

A cylinder has a base area of 25 square centimeters, a height of 4 centimeters and a volume of () cubic centimeters.

5. The side area of the cylinder is 25.12m2, the bottom diameter is 2m, and the height is () m..

6. The side of the cylinder is a square with a side length of 6.28 cm. The volume of this cylinder is () cubic centimeters.

7. The sum of the volumes of a cylinder and a cone with the same height is 6 cubic meters, and the volume of the cylinder is () cubic meters.

Second, choose a choice.

1. How much cardboard does it take to make a cylindrical tea can? ().

The lateral area of cylinder a, the volume of cylinder b and the surface area of cylinder C.

2. The radius of the cone bottom surface is enlarged by 2 times, the height is also enlarged by 2 times, and the volume is enlarged by () times.

A 4 B 6 C 8

3. Take one right-angle side of a triangle with two right-angle sides of 3cm as the axis and rotate once, and the volume obtained is () cubic centimeters.

A 9 B 84.78 C 28.26

Third, the application problem.

1. How many square meters of iron sheets do you need to make an iron chimney with a length of 1 m and a bottom diameter of 20 cm?

2. The volume of a cylinder is 30 cubic meters, the bottom area is 15 square meters, and the height is how many meters?

3. Conical sand pile with a bottom area of15m2 and a height of 2m. How thick can this pile of sand be spread on a road 400 meters long and 3 meters wide?

4. Tapered sand piles with a bottom radius of 2m and a height of 1.5m ... If the sand weight per cubic meter is 1.7 tons. How many tons does this pile of sand weigh?

5. A cylindrical barrel without a cover has a bottom surface with a diameter of 4 decimeters and a height of 5 decimeters.

How many square meters of iron sheet does it take to make such a bucket? (Keep the whole square meter)

② If each liter of water weighs 1kg, how many kilograms of water can this bucket hold at most? (excluding the thickness of iron sheet)

6. A section of cylindrical steel is 5 meters long, and the surface area of two small cylinders is increased by 20 square centimeters. If the steel weighs 7.8 grams per cubic centimeter, how many kilograms does this steel weigh? (Keep the whole kilogram)

7. The cylindrical water tank with a bottom radius of 8 cm is completely immersed in the iron sheet. When the iron sheet was taken out, the water surface dropped by 5 cm. What is the volume of this piece of iron in cubic centimeters?

unit testing

Fill in the blanks. (20 points, 1 and 2, 3 points for each question, and the remaining 2 points)

1. Cut the side of the cylinder along the height to get a (rectangle). The length of this (rectangle) is equal to the (perimeter) of the bottom surface of the cylinder, and the width is equal to the (height) of the cylinder, so the lateral area of the cylinder is equal to (perimeter of the bottom surface × height).

2. 4 15 square centimeter = (4. 15) square decimeter 4.5 cubic meters = (4,500) cubic decimeter.

2.4 cubic decimeter = 2 liters (400 ml)

3. Assemble four cubes with side length of 1 decimeter into a cuboid. A cuboid has a surface area of (18) square decimeter and a volume of (4) cubic decimeter.

4. The radius of the bottom of the cylinder is 2 decimeters, the side area is 1 13.04 square decimeters, and the height of the cylinder is (9) decimeters.

5. Divide a round steel with a length of 20 cm into two sections with the same length, increase the surface area by 20 cm2, and the volume of the original steel is (200) cm3.

6. The radius of the bottom surface of the cylinder is r, and the side spread pattern is square. The height of the cylinder is (2∏r).

7. A cone with a base area of 24 square decimeters has the same volume as a cube with a length of 4 decimeters. The height of this cone is (8) decimeter.

8. The volume of a cylinder is equal to the volume of a cone. The height of a cylinder is 18cm, its bottom area is three times that of a cone, and the height of the cone is (162cm).

9. The base area and height of a cone and a cylinder are equal, and the sum of their volumes is 72 cubic centimeters. The volume of this cone is (18) cubic centimeters.

Second, judge. (Mark "√" for the right and "×" for the wrong) (8 points)

1. If the volumes of two cylinders are equal, their cross-sectional areas are also equal. ( ×)

2. The radius of the bottom surface of the cylinder is reduced by 2 times, the height is increased by 2 times, and the volume of the cylinder remains unchanged. ( × )

3. The volume of a cylinder is equal to 3 times that of a cone. ( × )

Cubes and cylinders have the same bottom area and height, and their volumes must be the same. ( √ )

Choose the serial number of the correct answer to fill in the blanks. (10)

1. The volume of a cylinder is six times that of an equilateral cone, and the height of this cylinder is the height of the cone (c).

A.6 times B.3 times C.2 times

2. How many square meters of iron sheet does it take to make a cylindrical oil drum? (3).

A. Volume B. Transverse area C. Surface area

3. Cut a cube into the largest cylinder, and the volume of the cut part is (A )%% of the cube volume.

2 1.5

4. If the heights of two cylinders are equal and the radius of the bottom of the big cylinder is equal to the diameter of the bottom of the small cylinder, then the lateral area of the small cylinder is (half of f) of the big cylinder.

5. On a 4-meter-long cylindrical steel column, use a 3 1.4-decimeter-long iron wire to exactly circle 10 along the steel column. The volume of this steel column is (1) cubic decimeter.

a 3 1.4 b 125.6 c 3 1400

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