![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Application of cylinder and cone The application of cone and cylinder with equal height and volume, the application of cone and cylinder with equal base and volume
If the height of the cone increases by 12 cm, the volume of the cone and the cylinder will be equal. Given that the radius of the bottom of the cone is 5 cm, how many cubic centimeters is the volume of the original cone
The volume difference between a cylinder and a cone is 50.24 cubic centimeters. If the radius of the bottom of the cylinder is 2 cm, what is the side area of the cylinder?
Experiment with cylindrical and conical containers with equal bottom and height. Fill the cylindrical container with sand and pour it into the cylindrical container. What do you find
The height of a cone is twice the height of a circle. The area of its bottom is the same. The volume of a cone is ()
The circumference of the bottom of a cylinder is 2 / 3 of that of a cone. The height of the cone is 3 / 4 of the height of the cylinder, and the volume of the cone is () of the cylinder
The volume of a cylinder and a cone is 60 cubic centimeters. What is the volume of a cylinder? What is the volume of a cone?
The radius of the bottom of a cone is 3 / 4 of that of a cylinder, and the volume of the cylinder is 8 / 9 of that of a cone,
What is the ratio of the height of the cone to that of the cylinder?
The height of the cone is 21 cm. How many cm is the height of the liquid level when the water in the cone is poured into a cylindrical container with the same bottom as it?
The volume of a cylinder is 1 / 3 more than that of a cone. The area of the bottom of the cylinder is 2.5 times that of the cone. How much higher is the height of the cylinder than that of the cone?
It is known that the volume ratio of a cone to a cylinder is 1 / 6, and the height of a cone is 4.8 cm. What is the height of a cylinder?
A cylinder, perimeter = 6.28, height = 2DM, if it is reduced to a cone, what is the height of the cone
The volume of a cone is equal to that of a cone. It is known that the height of a cylinder is 2 / 5 of the height of a cone, and the area of the bottom of a cylinder is a fraction of the area of the bottom of a cone?
A cylindrical steel with a bottom radius of 15 cm and a height of 3 cm is melted and cast into a cone with a radius of 12 cm. What is the height of the cone?
The height and bottom radius of a cone are equal to the edge length of a cube?
The height of the bottom area of a cylinder and a cone is equal. The volume of a cone is 36 cubic centimeters less than that of a cylinder. What are the volumes of a cylinder and a cone?
The bottom area of a cone and a cylinder is equal. The volume ratio is 1:6. How many centimeters is the height of a cone?
The length, width and height of a cuboid are 8 cm, 4 cm and 5 cm respectively. What is the volume of a cylinder with the same base and height?
The bottom area and height of a cylinder and a cone are equal. The sum of them is 52 cubic centimeters. How many cubic centimeters is the cone and how many cubic centimeters is the cylinder
Simple application of cylinder and cone
Cylinder 1. A cylindrical bucket with a bottom radius of 15 cm and a height of 45 cm. How much iron sheet does it need to make the bucket? 2. The front wheel of a roller is cylindrical, with a width of 1.5 m and a diameter of 1.2 m. when the front wheel rotates for one circle, how many square meters is the area of the roller? 3. Build a cylindrical reservoir with a bottom diameter of 4 m and a depth of 5 m
1. Cut a cylinder into the largest cone. The volume of the cut part is 40 cubic meters. What is the volume of the original cylinder?
2. The area of the bottom of a cone is equal to that of a cylinder. It is known that the volume ratio of a cone to a cylinder is 1:6. The height of a cone is 4.8 cm. What is the height of a cylinder?
3. A cylindrical container with a bottom radius of 10 cm is filled with water. Now put a conical plumb with a bottom diameter of 4 cm and a height of 15 cm into the water (completely submerged), how much has the water surface increased?
4. If the height of a 16 cm cylinder is increased by 1 / 4, the surface area will be increased by 12.56 square cm
1.40 / 2 * 3 = 60 [m3] a; the original volume is 60 [m3]. 2.4.8 / 3 = 1.6 [cm] a; the height of the cylinder is 1.6 cm
RELATED INFORMATIONS
- 1. Ask three practical questions 1. A pool is equipped with an inlet pipe and an outlet pipe. If the inlet pipe is opened only, the empty pool can be filled in 8 minutes. If the outlet pipe is opened only, the full pool can be drained in 12 minutes. Now, if the inlet pipe is opened only 2 minutes later, how many minutes will it take to fill the pool? 2. For a pool, it takes 10 hours to open a water inlet pipe to fill it, 12 hours to open B water inlet pipe to fill it, and 30 hours to open C water outlet pipe to fill a pool. How many hours to open three pipes at the same time to fill the empty pool? 3. A pool can hold 84 tons of water. There are two water injection pipes to fill the pool. The first pipe can fill the pool in 8 hours, and the second pipe can fill the pool in 6 hours. Now the two pipes are opened at the same time. When the pool is filled, how many tons of water can the second pipe fill the pool?
- 2. Ask these three practical questions First, a batch of rice was delivered to the school canteen. In the first week, 15% of the total rice was eaten. In the second week, 320 kg rice was eaten, and 955 kg rice was left. How many kg of this batch of rice are there? Second, there is a batch of goods in the warehouse. One third of this batch of goods were transported away for the first time, and 9 tons were transported away for the second time, At this time, the ratio of the tonnage that has been transported to the tonnage that has not been transported is 7:5. How many tons are there in total? The third (the last): from station a to the station, the express trains can travel 84 kilometers per hour and arrive in 3 hours. It is known that the speed of ordinary buses is only 5 / 7 of that of express trains. How many hours can ordinary buses arrive
- 3. Application will be a few to do a few! After the points! A cone-shaped beach, the perimeter of the bottom is 18.84 meters, and the height is 1.5 meters. How many cubic meters of sand is there? 2. There is a rectangular stone, 30 cm long and 15 cm high. When processing, the length, width and height are chiseled away by 2 cm. How much is the volume reduced? What is the surface area? 3 as shown in the figure, in a square ABCD, the area of the shadow part is twice the area of the triangle bef, and the area of the shadow part is 6? There is a kind of drink which is cylindrical (not including bottle neck). The volume of the bottle is 40cm & sup3;. Now there are some drinks in the bottle. When the bottle is placed upright, the liquid is 20cm high and the rest is 5cm high. Please calculate the volume of the drink in the bottle 5. There are two kinds of salt water solution, the ratio of salt content is 2:3, the ratio of water content is 1:2, and the ratio of solution weight is 40:77 Two is eighteen I can't figure out
- 4. On the calculation of X equation (grade 4 of primary school) Speed! (15 lanes)
- 5. Practical problems in grade four of primary school A train passes a 720 meter long bridge. The speed of the train is 60 meters per second. It takes 15 seconds from one end of the bridge to the other end of the bridge. How long is the train?
- 6. When a fruit company transports a batch of seasonal fruits, the carrier charges. The first carrier charges 1000 yuan at the starting price and 5 yuan at the oil price per kilometer. The second carrier charges 500 yuan at the starting price and 10 yuan at the oil price per kilometer (1) When the transportation distance is kilometers, the two companies charge the same? (2) When the transportation distance is 1000 km, which transportation company is more cost-effective?
- 7. Applied problems in sequence of numbers Since 1986, the total population and the total residential area of a certain area have been increasing year by year according to the equal ratio series and the equal difference series respectively. It is known that the per capita housing area at the end of 1986 is 10m ^ 22006, and the per capita housing area at the end of 1986 is 20m ^ 2. According to this calculation, the per capita housing area at the end of 1996 is more than 14m ^ 2, and the proof is given; 2, Is it ensured that the per capita housing area at the end of 2008 will increase compared with that at the end of 2006? Why?
- 8. Mr. Zhang bought a house in early 2008 with a loan of 200000 yuan for 10 years (120 months) and a monthly interest rate of 5%. He paid off the principal and interest at the end of the 10th year. How much is the monthly repayment amount of Mr. Zhang
- 9. Let a, B and C be odd numbers, and prove that the equation AX & # 178; + BX + C = 0 has no rational root
- 10. Tan36 ° tan72 ° evaluation process
- 11. On the application of cylinder and cone Better have more,
- 12. Mathematical application problems (formula calculation) (1) One day, 8000 people visit an education website, 2 out of 25 students and 3 out of 40 teachers? (2) There is a round iron sheet with a radius of 20 cm. If 40% of this iron sheet is used, how many square centimeters are left? (3) If the ratio of 7:4 is used to raise carp and crucian carp, the number of fry of carp is 1200 more than that of crucian carp? (4) There are 45 kg apples in basket A. after 1 / 5 of basket a is used and 1 / 7 of basket B is used, the remaining two baskets of apples are the same. How many kg are the apples in basket B?
- 13. Mathematical application problems, only the formula does not calculate The road repair team built a highway, which accounted for 24% of the total length in the first four days. On the fifth day, it built 80 kilometers a day with the same working efficiency. How many kilometers is the length of the road?
- 14. Elementary school equation calculation I need 20 equations, like x + 13 = 33. Don't give me hundreds
- 15. 3 practical questions. The questions are in the supplementary column. They should be accurate, 1. Xiao Ming: I bought a morning ticket with a 15% discount Xiao Hua: I bought a ticket for the evening. The ticket price is 50% off The air ticket from city a to city B is 1280 yuan for the whole family. How much is cheaper in the evening than in the morning? 2. The original price of a digital camera is 2500 yuan, but now the price is reduced by 500 yuan. How much discount is it? 3. A certain brand of detergent is 25 yuan per bottle. Aunt Wang is going to buy 12 bottles of this brand of detergent for her company. Which supermarket is more cost-effective? Supermarket a: 25 yuan per bottle, five for one free Supermarket B: 25 yuan per bottle, 15% off
- 16. 1. There is a section of river that needs to be dredged and dredged. At present, there are two dredging companies a and B. if company a does it alone for two days and company B does it alone for three days, it can just complete 25% of all the dredging tasks. If company a does it for four days first, the rest of the dredging work will be completed by company B alone, Then the time taken by company B is just 2 days more than that taken by company a to complete the dredging task alone? 2. A class organizes mountaineering activities. The students are divided into two groups: group A and group B. they march from the foot of the mountain along a road to the top of the mountain at the same time. The time ratio of group A and group B is 2:3 (1) Write directly the ratio of the speed of the two groups (2) When group a reaches the top of the mountain, group B goes to the mountainside a, and the distance from a to the top of the mountain is still 1.2 kilometers. How far is the distance from the foot of the mountain to the top of the mountain (3) On the basis of question (2), set group B to continue climbing from a, and group A to go down the mountain from the original road. The speed of going down the mountain is the same as that of going up the mountain, and meet group B at the hillside B. please put forward a corresponding question according to the above situation, Before giving answers (requirements: ① no other conditions shall be added to the raising of the question; ② the solution of the question must make use of all the known conditions provided by the above situation)
- 17. A few calculation problems, 1.（-5/6）÷（-19/6）÷[1/24×（-5/4）]-0.25÷1/4 2.-1-4/13×[-4-9]×[（-8）+0÷（-1）] 3.-9×4/9÷（-0.8）+4+（-4）-（-9）
- 18. The score series calculation problem should be simplified, 1 1 1 1 ---------- + ---------- + ----------- +………… +--------------- 1*2*3 2*3*4 3*4*5 98*99*100
- 19. Score application questions (detailed process) A pile of 12 tons of sand is divided into three piles. The sum of the masses of the first pile and the second pile is seven and three tenths, and the sum of the masses of the first pile and the third pile is six and five eighths. Q: how many kilograms do the three piles of sand weigh?
- 20. Mark application questions (clear process) 1. The ratio of salt to water in one bottle of brine is 1:4, and the concentration of the other bottle of brine is 10%. After mixing two bottles of brine, the concentration is 12%. What is the weight ratio of the two bottles of brine? 2. 200 grams of 10% salt water and 20 grams of 20% salt water are mixed, and the concentration becomes 12%. How many grams of salt water are mixed? 3. When a commodity is sold at its original price, it can make a profit of 25%. Later, when the cost rises, it will raise the price by 20%, and it can only make a profit of 20%. How much does the cost rise?