2. The diameter of the bottom surface of the cylinder is 20cm and the height is 50cm. What is the surface area and volume of a cylinder?
3. A cylindrical ammonia tank with a circumference of 3 1. 4 meters, how many cubic meters of ammonia does it take to raise the water level by 40 centimeters?
4. Cast a cylindrical iron block with a bottom radius of 2 decimeters and a height of 2 decimeters into a square steel with a cross-sectional side length of 2 decimeters. How long is this square steel?
The circumference of the bottom of the cylindrical measuring cup is 25. 12cm, and the height is10cm. Fill it with water and pour it into a cuboid container with a length of 10 cm and a width of 8 cm. What is the height of the water?
6. A conical rice pile, with a ground radius of 1m and a height of 1.5m, weighs about 600kg per cubic meter. How much does this rice weigh?
7. The playground of Renmin Road Primary School is 90 meters long and 45 meters wide. After transformation, the length is increased by10m, and the width is increased by 5m. How many square meters has the playground area increased now?
8. If the width of a rectangle remains the same and its length increases by 6 meters, its area will increase by 54 square meters. If the length remains the same and the width is reduced by 3 meters, its area will be reduced by 36 square meters. What is the original area of this rectangle?
9. For a square steel plate, first cut a rectangle with a width of 5 decimeters, and then cut a rectangle with a width of 8 decimeters. The area is reduced by 18 1 decimeter. What is the side length of the original square?
10, in the triangle ABC, AB = 3ad, BC = 4be, AC = 5fc, what is the calculated triangle DEF area?
1 1. Cut off the largest cylinder in a cuboid with a side length of 3cm and find the volume of the rest.
12. The bottom radius of a cylindrical glass container filled with water is 6 cm. Now put a stone in the container and the water level will rise by 4 cm. What is the volume of this stone in cubic centimeters?
13. A cylindrical wooden stick is 5 meters long and cut into three sections along the parallel direction of the bottom diameter, and the surface area is increased by 25. 12 square centimeter. What is the original volume of the wooden stick?
14. A conical sand pile with a bottom area of 3.6 square meters and a height of 1.2 meters. How high can you put this pile of sand in a bunker 2 meters long 1.5 meters wide?
15, pool a 1 12 cubic meter has water, and pool b 120 cubic meter has water. 9 cubic meters of water flows from pool A to pool B every hour. After a few hours, the water in pool B is three times that in pool A..
16. The volume of cylindrical glass is 1000 cubic centimeter. Now the ratio of water height to water height is 1: 1. After putting into the cone (the cone is completely immersed in water), the ratio of water height to water height is 3: 2. What is the volume of this cone?
17. A pile of coal is in a cone shape, with a bottom circumference of12.56m and a height of10.2m.. If each cubic meter of coal weighs about 1.4 tons, how many tons does this pile of coal weigh? (Keep the whole ton as a figure)
18, rectangular steel plate with circumference of 260 cm and length-width ratio of 8: 5. Find the area of this steel plate.
19, two candles with different thickness and length, and three candles can be lit if they are long. 5 hours, the short one can be lit for 5 hours. At the same time, after 2 hours, the two candles are exactly the same length. Q: How much shorter is a short candle than a long candle?
20. A cuboid is 24 cm long and at the same time long and wide. What is the volume of this cuboid?
2 1. There are 60 boxes of apples in the shop, all of which are pear boxes. The number of boxes of oranges is equivalent to that of pears. How many boxes of oranges are there?
22. Wu Shan Farm planted 65,438+050 hectares of wheat last year, 65,438+05 hectares more than last year. How many hectares of wheat have been planted this year?
There are 200 cars, buses and buses on a busy street. The ratio of these three cars is 2: 3: 5. How many cars are there in each car?
24. Ballpoint pens are more expensive than exercise books. As we all know, the unit price of exercise books is the unit price of ballpoint pens. How much is the exercise book?
A chemical fertilizer factory produced a batch of chemical fertilizers, which were shipped out in three times. The first batch is more than 200 tons, the second batch is the first and the third batch is 450 tons. How many tons are there in this batch of fertilizer?
26. A project. It takes 12 days for a worker to complete it alone, and it can be completed in 8 days with the cooperation of both parties. How many days does it take for Party B to finish it alone?
27. The store distributes 320kg of oranges, apples and pears, and the ratio of oranges to apples is 5:6. The weight of pears is apples. How many kilograms are oranges heavier than pears?
28. The minute hand of the wall clock is 20 cm long. After 45 minutes, how far did the tip of this minute hand move?
When water turns into ice, its volume increases. There is a piece of ice with a volume of 2 cubic decimeters. What is the volume after melting?
30. A barrel of oil weighs 23 kilograms. After removing 50% oil, it is called12kg. How many kilograms of oil are there in the barrel? How much does this bucket weigh?
3 1, typing a story takes 15 hours for Xiao Ming alone and 12 hours for Xiao Gang. If two people type together, you can finish this manuscript for 56 hours in a few hours.
32. A section of iron chimney is1.6m long and 0.2m in diameter. How many square meters of iron does it take to make five such chimneys?
33. A road maintenance team needs to build a road 2 100 meters long. In the first five days, an average of 240 meters will be repaired in one day, and the remaining tasks will be completed in three days. How many meters will be repaired on average every day?
34. A bookbinding team has to bind 2,640 books, and 240 books were bound in three hours. According to this calculation, how many hours will the remaining books be bound?
35. It took a tractor team four days to plow 6.8 hectares of cotton fields. According to this calculation, how many days will it take to plow 13.6 hectares of cotton field?
36. A road construction team laid a section of railway. It was originally planned to lay 3.2 kilometers a day, which was completed in 15 days. In fact, 0.8 kilometers more than originally planned is paved every day. How many days has this railway been paved?
37. A chemical plant uses 14 tons of raw materials every day after adopting new technology. In this way, the raw materials used for 7 days can now be used for 10 days. How many tons of raw materials does this factory save every day compared with the past?
38. A road repair team built a section of highway, 360m in the first three days and150m in the last five days. How many meters does this road repair team repair on average every day?
39. A road team built roads for 540 meters in the first six days of May, and roads were built every day for the next four days 105 meters. How many meters per day did this road team average in early May?
40. At the end of the term, Xiaohong scored 94.5 points in Chinese and Mathematics on average, and 94 points in Chinese, Mathematics and English. How much did she get in the English exam?
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Steel with a volume of 40 cubic decimeters weighs 3 12 kg. What is the volume of this Zhong Gang weighing 1248kg?
Master Wang wants to process a batch of parts. If he processes 80 pieces a day, he can finish the task in five days. If he finishes the task in four days, how many pieces will he need to process every day?
Lay the floor with the same square brick. Paving 18 square meters of ground needs 108 square bricks. If you want to lay a 48 square meter floor, how many square bricks do you need?
The garment factory used to make a set of 3.2-meter student clothing cloth. After improvement and technology, how many sets of 150 sets of student clothing cloth can be made now?
A machine tool factory plans to produce a batch of machine tools. It was originally planned to produce 8 sets a day and complete the task in 30 days. In fact, more machines are produced every day than originally planned. How many days can the task be completed?
It costs 500 yuan to lay a classroom with 225 square centimeters of square bricks. How many pieces does it take to lay a classroom with square bricks with an area of 900 square centimeters?
48 classrooms need 500 square bricks with side length 15 cm. If you use a square brick with a side length of 30 cm, how many pieces do you need?
It takes 65,438+0,500 blocks to pave a road with rectangular bricks 40 cm long and 24 cm wide. How many pieces do you need if you replace it with a square brick with a side length of 30 cm?
This loom can weave 90 meters in three hours. According to this calculation, how many meters can the loom weave in 2 hours?