The bottom radius is 2 cm and the height is 10 cm. The bottom area is 4.5 square meters and the height is 3.6 meters;

The bottom surface is 3m in diameter and 4m in height; The bottom circumference is 6.28 meters and the height is 3 cm;

Second, find the volume of the following cone:

The bottom radius is 3m and the height is12m; Bottom area 120 cm2, 8 cm high;

The bottom surface has a diameter of 8 decimeters and a height of 1.5 meters; The bottom perimeter is 25. 12m, and the height is 3m.

Three, find the surface area of the following cylinder:

The bottom radius is 5 decimeters and the height is 20 centimeters; Bottom circle diameter 16 cm, height 3 cm.

The circumference of the bottom circle 12.56 decimeter, and the height is 20 cm.

Fourth, find the lateral area of the following cylinder:

The radius of the bottom surface is 4 decimeters and the height is 2 1 cm. Bottom diameter 16 cm, height 3 cm.

Verb (abbreviation for verb) Find the volume of the following objects:

Cylinder bottom circumference 18.84 decimeter, 2 meters high; The bottom of the cone has a diameter of 6 meters and a height of 20 decimeters;

The bottom area of the cone is12m2 and the height is 2m. What is the volume of a cylinder as high as the bottom?

What is the height of a cone with a volume of 12.56 cubic meters and a bottom radius of 2 decimeters?

Six, the application problems in practice:

1. A section of round steel is 1.8m long, with a bottom radius of 5cm and a weight of 7.8kg per cubic decimeter. How much does this round steel weigh?

2. An iron cylindrical oil drum with a bottom diameter of 6 decimeters and a height of 8 decimeters. How many kilograms can this oil drum hold? (The weight of oil per cubic decimeter is 0.82kg, and the number should be kept as an integer. )

3. Dig a cylindrical reservoir, and measure the bottom circumference of 3 1.4m and the depth of 2.4m from the inside. Its inner wall and bottom surface are coated with cement. What is the area of plastering part? How many tons can this reservoir hold? (weight of water per cubic meter is 1 ton)

4. A glass jar with a bottom area of 15 square decimeter and a water depth of 15 cm. When a stone is put in, the water level rises to 18 cm. What is the volume of this stone?

5. A cylindrical granary full of corn, measured from the inside, with a bottom circumference of 31.4m and a height of 6m. Corn weighs 740 kilograms per cubic meter. How many tons of corn are left after transportation by car?

6. A conical lead cone with a base diameter of 8 cm and a height of 7.5 cm. What is the volume of this lead cone?

7. A conical sand pile with a bottom area of12m2 and a height of 2m, with a sand weight of 1.7 tons per cubic meter. How many tons are left to build this pile of sand?

8. Cone-shaped grain pile with bottom circumference 18.84 decimeter and height of 2 meters; Each cubic meter of grain weighs 550 kilograms. How much does this pile of rice weigh?

9. A conical funnel with a volume of 94.2 cubic centimeters and a bottom radius of 3 centimeters. Find the height of the funnel.

10, a pile of conical sand with a bottom radius of 3m, a height of 15 decimeter, and a sand weight of10.5t per cubic meter. How many tons does this pile of sand weigh?

1 1. The rectangular body length is 28 decimeters, the width is 15 decimeter, and the height is 12 decimeter. Now it is cast into a cone with a bottom area of 90 square decimeters. What is the height of the cone?

12. The surface area of the cylinder is larger than the side area 12.56 m2. What is the volume of this cylinder?

13. There are six identical cylindrical wooden columns in a conference hall, each with a height of 4m and a circumference of 1.5 decimeter at the bottom. If you can draw 4.5 square meters per kilogram of paint, how many kilograms do you need to draw these wooden columns?

14. How many square decimeters of iron does it take to make a cylindrical uncovered iron drum with a bottom circumference of 18.84 decimeters and a height of 8 decimeters?

Give me a few more

Problems for cylinders and cones

1, a cylinder with a base diameter of 0.5m and a height of1.8m, and find its lateral area. (Figures shall be kept to two decimal places)

2. The height of the cylinder is15cm, and the radius of the bottom surface is 5cm. What is its surface area?

A cylindrical iron drum without a cover is 24cm high and 20cm in bottom diameter. How many square centimeters does it take to make this bucket? If you use one method, you have to keep a full 100 square centimeters. )

4. What is the lateral area of a cylinder with a bottom circumference of 94.2 cm and a height of 25 cm?

5. What is the surface area of a cylinder with a diameter of 2 decimeters at the bottom and a height of 45 decimeters?

6, build by laying bricks or stones a cylindrical biogas digester, the bottom diameter is 3 meters, the depth is 2 meters, the pool and the bottom are sealed with cement, and the area of the cement part is how many square meters?

7. The transverse area of the cylinder is 188.4 square decimeter, and the radius of the bottom is 2 decimeter. What is its height?

8. A cylindrical iron drum without a cover is 12 decimeter high and has a high bottom diameter. How many square decimetres of iron was used to make this iron drum? (If one method is used, the number will remain as 10 square decimeters. )

9. What is the volume of cylindrical steel with a bottom area of 50 square centimeters and a height of 2. 1 m?

10, cylindrical bucket, measured from cm, with a bottom diameter of 20 cm and a height of 25 cm. What is the volume of this cylindrical barrel?

1 1. What is the volume of a cylindrical wood with a bottom area of 75 square centimeters and a length of 90 centimeters?

12. The roller of the roller is cylindrical, with a bottom surface diameter of 1m and a length of 2m. How many roads can you press per roll?

13, a pile of conical yellow sand, the bottom circumference is 25.12m, the height is1.5m, and the weight of yellow sand per cubic meter is1.5t.. How many tons does this pile of sand weigh?

14. The truck box is a cuboid. 4m long, 4m wide 1.5m high. It's full of sand. After unloading, the sand piles up into a cone with a height of1.5m. What is its bottom area?

15, cylindrical steel pipe, 30 cm long, outer diameter 1/5, wall thickness 1 cm, known to weigh 7.8 grams per cubic centimeter. How much does this steel pipe weigh?

16. The granary filled with rice has a conical top and a cylindrical bottom. The circumference of the cylinder bottom is 62.8 meters, the height is 2 meters, and the height of the cone is 1.2 meters ... How many cubic meters of rice can this grain depot hold? If each cubic meter of rice weighs 500 kilograms, how many tons of rice can this grain depot hold? (Keep one decimal place)

17. Cut a cuboid with a square cross section into the largest cone. It is known that the circumference of the cone bottom is 6.28 cm and the height is 5 cm. What is the volume of this cuboid?

18, the height of cylinder and cone is the same, and the volume difference is 50.24 cubic centimeters. If the bottom radius of a cylinder is 2 cm, what is the side area of the cylinder?

19, cylindrical reservoir, diameter10m, depth 2m. What is the area of this reservoir? Apply cement around and at the bottom of the pool. What is the area of cement? 20. How many square meters of iron does it take to make ten cylindrical iron chimneys with a length of 2 meters and a diameter of 8 centimeters?

2 1, the drum of the drum is a cylinder with a length of 2m and a cross-sectional radius of 0.6m.. If you spin five times a minute, how many roads can you press per minute?

22. There are 10 columns in the main hall, with a bottom diameter of 1m and a height of 8m. Paint the surface of these columns, with an average of 0.8kg paint per square meter. * * * How many kilograms do you need to draw?

23. The lateral area of the cylinder is 25. 12cm2, and the radius of the bottom is 2cm. What is its surface area?

24. Weld two cylindrical steel products with a bottom diameter of 4cm and a length of 3cm into a large cylindrical steel product. How much is the surface area of welded cylindrical steel products reduced compared with the sum of the surface areas of the original two small cylindrical steel products?

25. Make an object with three cylinders with a height of 1m and a bottom radius of 1.5m, 1m and 0.5m respectively. What is the surface area of this object?

26. The reservoir is cylindrical, with a bottom area of 3 1.4 square decimeter and a height of 2.8 decimeter. How many liters of water can this reservoir hold at most?

27. The height of a cylinder is 37.68 cm, and its side is exactly square after being unfolded. What is the volume of this cylinder? (Keep integer)

28. The volume of a cylindrical bucket is 24 cubic decimeters, the bottom area is 6 square decimeters, and the bucket is filled with water. What is the height of the water?

29. A cylindrical measuring cylinder with a bottom radius of 5 cm. After the iron block was taken out of the measuring cylinder, the water surface dropped by 3 cm. What is the volume of this iron block?

30. After cutting a cylindrical steel with a length of 1.5m into three sections, the surface area increased by 9.6 square decimeters. What is the original volume of this steel?

3 1. Split a 20-decimeter-long cylindrical wood along the diameter of the bottom surface to increase the surface area of 80 square decimeters. What is the original surface area of this cylindrical wood?

32, build by laying bricks or stones a cylindrical pool, the perimeter of the pool bottom is 25. 12 meters, and the depth is 2 meters. Cement should be laid at the bottom and around the pool. If the cement per square meter is 10 kilograms, how many kilograms of cement does * * need?

33. A pile of conical yellow sand, with a bottom circumference of 25.12m, a height of1.5m and a weight of1.5t per cubic meter of yellow sand. How many tons does this pile of sand weigh?

34. A cylindrical bucket without a lid, with a bottom diameter of 20 cm and a height of 30 cm, how many iron sheets does it take to make such a pair of buckets? How many kilograms can you hold if you use this pair of water barrels? (Weight per liter of water 1kg, keep the whole kilogram. )

35. There are eight identical cylindrical wooden columns in the hall, each with a height of 5 meters and a bottom circumference of 3.2 meters. If you can paint 4.5 square meters per kilogram, how many kilograms do you need to paint these wooden pillars?

36. Cone-shaped sand pile, bottom circumference12.56m, height 6m. How many meters can be paved on a road with a width of 10 meter and a thickness of 0.04 cm?

37. A cylinder and a cone are equal in height, with a volume difference of 50.24 cubic centimeters. If the radius of the bottom of a cone is 2 cm, what is the height of the cone?

38. The side area of a cylinder is 37.68 square decimeters, and the radius of its bottom surface is 3 decimeters. What is its height?

39. A section of iron chimney is1.5m long and 0.2m in diameter. How many square meters of iron does this chimney need for 500 knots?

40. A cylindrical iron drum without a cover has a circumference of 65,438+08.84 decimeters at the bottom and a height of 65,438+02 decimeters. How many square decimetres of tin does it take to make this barrel? (Keep the integer by entering one)

4 1. The radius of the bottom of the cylinder is 2 decimeters and the height is 1.8 decimeters. What is its volume?

42. The circumference of the cylinder bottom is 94.2 cm and the height is 3 cm. How many cubic centimeters is its volume?

43. The volume of the cylinder is 3 140 cubic centimeters, and the radius of the bottom surface is 10 centimeters. What is its height?

44. Two cylinders with equal bottom areas, one cylinder has a height of 7 decimeters and a volume of 54 cubic decimeters, and the other cylinder has a height of 5 decimeters. What is the volume of the other cylinder?

45. A cylindrical grain depot, measured from the inside, has a bottom radius of 4 meters and a height of 2 meters, and each cubic meter of grain weighs about 500 kilograms. How many kilograms of grain can this grain depot hold?

46. Cylindrical water tank, measured from the inside, with bottom circumference of18.84m and height of 3m. How many cubic meters of water can it hold at most?

47. A cylindrical reservoir has a bottom radius of 10 meter, and the water inside is 4.5 meters high, 50 centimeters away from the reservoir mouth. What is the volume of this reservoir?

48. The volume of a cylindrical machine is 125.6 cubic centimeters, and the bottom radius is 2 centimeters. What is the height of this cylinder?

49, a cylindrical glass cylinder, the bottom diameter of 20 cm, put a steel ball into the water, the water level in the cylinder rises by 2 cm, and find the volume of the steel ball.

50. Cut cylindrical wood with a bottom radius of 4 cm and a height of 9 cm into the largest cone. What is the volume of this cone in cubic centimeters? What is the volume of the excised part?

5 1. A conical sand pile with a bottom area of16m2 and a height of 2.4m.. If the sand weighs 1.7 tons per cubic meter, how many tons are there in this pile?

52. Cone-shaped sand pile, with bottom circumference12.56m and height of 4.8m.. How many meters can be paved with this pile of 2 cm thick sand on the road with a width of 10 meter?

53. Measured from the inside, the bottom radius of the cylindrical oil drum is 20cm and the height is 3cm. What is the volume of this oil drum?

54. A cylinder is a square. When its side is unfolded, its side length is 9.42 decimeters. What is the diameter of the bottom of this cylinder?

55. A cylindrical tin oil drum is filled with half a ton of gasoline. Now dump the gasoline, leaving 12 liter of gasoline. If the inner bottom area of this oil drum is 10 square decimeter, what is the height of the oil drum?

56, a cylindrical glass, the inner bottom diameter is 8 cm, the depth of medicine is 16 cm, which just accounts for the capacity of the whole glass. How many milliliters can this glass hold at most?

57. There are two cylinders with equal base radii, and the height ratio is 2: 5. The volume of the second cylinder is 175 cubic centimeters. How many cubic centimeters is the volume of the second cylinder more than that of the first cylinder?

58. A cylinder and a cone are equal in height, with a volume difference of 6.28 cubic decimeters. What are the volumes of a cylinder and a cone?

59. Dongfeng Chemical Plant has a cylindrical oil tank. The radius of the bottom measured from the inside is 4 meters and the height is 20 meters. A large amount of oil has been injected into the fuel tank. If oil weighs 700 kilograms per cubic decimeter, how many kilograms does it weigh?

60. Uncovered cylindrical iron drum with a bottom diameter of 30 cm and a height of 50 cm. How many square centimeters does it take to make such a barrel? How many liters of water can you hold at most? (Numbers are reserved as integers)