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In a cylindrical glass tank with a bottom radius of 10 cm and a water depth of 8 cm, an iron block of 8 cm in length and width and 15 cm in height should be placed in the tank 1. How many centimeters will the water surface rise when the iron block is placed horizontally in the water? 2. Put the iron block in the water vertically, how many centimeters will the water rise?
1. The iron block is placed horizontally in the water. The cylindrical glass jar with a radius of 10 cm is smaller than a piece of iron with a height of 15 cm. If it cannot be put in, it will rise 0
2. When the iron block is placed vertically in the water, the water rises X
The volume under the water surface after rising = the volume of water + the volume of iron in water
π10^2*(8+X)=π10^2*8+8*8*（X+8）
X = 2.048
In a rectangular glass container 40 cm long, 20 cm wide and 20 cm high, put water 10 cm deep. If a cube stone with an edge length of 8 cm is put into a jar, how many centimeters will the water in the jar rise?
8 × 8 × 8 ^ (40 × 20) = 512 ^ 800 = 0.64 (CM) a: the water in the tank will rise by 0.64 cm
A piece of cloth takes 24 meters to make clothes, which just takes 8 / 9 of this piece of cloth. How much cloth is left unused?
You don't need to solve the equations, just do it by yourself, but you can't formulate it Of course, it's OK to solve it directly by formula
24=8x/9
x=27
27-24=3
3 meters
A cylinder, with a side area of 37.68 square decimeters and a height of 2 decimeters, has a bottom diameter of______ Decimeter, volume is______ Cubic decimeter
Bottom diameter: 37.68 △ 3.14 △ 2 = 6 (decimeter), cylinder volume: 3.14 × (6 △ 2) 2 × 2, = 3.14 × 9 × 2, = 56.52 (cubic decimeter). Answer: its bottom diameter is 6 decimeter, volume is 56.52 cubic decimeter. So the answer is: 6, 56.52
It is not necessary to fill in the sign between two numbers
add , subtract , multiply and divide
1 2 3 4 5 6 7 8 9 =44
Only add and subtract
5 5 5 5 5=1
1 2 3 4 5 6 7 8 9=48
1 2 3 4 5 6 7 8 9=10
8 7 6 5 4 3 2 1=2
Fill in the minus sign only
5 5 5 5 5 =4
123 + 4 + 5 - 6 + 7 - 89 = 44 (5 5 = 1, it is impossible to only fill in addition and subtraction, no matter how many 5 are multiples of 5, the result of addition, subtraction and multiplication or multiples of 5 must use division! (5 + 5) / 5 - 5 / 5 = 1 123 - 45 - 6 - 7 - 8 - 9 = 48123 - 45 - (67 - 8) - 9 = 1087 - (65 - 4) - 3 - 2
What is the differential of (sin2x + 1)?
Seek answers
y = sin2x+1
dy = 2cos2x dx
The mass of an object is 158.0g, and the density is 7.9g per cubic centimeter. How many cubic centimeters is the volume of the object? How many cubic meters is it?
V = m / ρ = 158 / 7.9 = 20 cc = 0.00002 M3
How do four eights count as 24 o'clock
Divide the square of (8 + 8) by 8 and subtract 8
How to solve the problem of finding the analytic expression after translation by turning the graph of a function to the left or right
If a unit is shifted to the left, then (x + a) is used to replace X in the original function
If a unit is shifted to the right, then (x-a) is used to replace X in the original function
The surface area of a cuboid is 108 square decimeters, the bottom area is 18 square decimeters, and the perimeter of the bottom area is 18 decimeters. What is the volume of the cuboid
108-18 × 2 = 72 square decimeter side area
72 △ 18 = 4 decimeters high
18 × 4 = 72 cubic decimeter
The volume is 72 cubic decimeters
RELATED INFORMATIONS
- 1. A cube lead block with an edge length of 8 cm is installed in a cuboid glass tank of 16 cm long, 10 cm wide and 20 cm high, and then some water is put into the tank to completely submerge the cube lead block. When the lead block is taken out of the tank, how many cm will the water in the tank drop?
- 2. A cuboid is 8 cm in height, 1 / 2 in width and 5 / 4 in width. The cuboid is () cm in width, () cm in length, () cm in edge length, () m3 in volume and () cm2 in surface area
- 3. The circumference of the bottom of a cuboid is 36 cm, and the height is 8 cm. What is the total length of the edges of the cuboid?
- 4. The circumference of the bottom of the cuboid is 36 cm and the height is 8 cm. The total length of the edges of the cuboid is () cm
- 5. Use three cuboids that are 3cm long, 2cm wide and 1cm high to form a large cuboid with the smallest surface area. How many square centimeters is the surface area of this cuboid
- 6. There is an empty cuboid container a 40 cm long, 30 cm wide and 20 cm high. There is another cuboid container B 30 cm long, 20 cm wide and 24 cm deep. Now pour part of B's total water to a so that the water in the two containers is the same height. How many cm deep is the container
- 7. The length, width and height of a cuboid container are 60cm, 40cm and 30cm respectively. The original height of the water surface is 25cm. After putting it into a cuboid container The length, width and height of a cuboid container are 60cm, 40cm and 30cm respectively. The original height of the water surface is 25cm. After putting in a cuboid iron block, all the iron blocks are submerged in the water, and the height of the water surface rises to 28cm. The length of the iron block is 20cm, the width is 15cm, and how many centimeters are behind the iron block?
- 8. A and B are two cuboid containers. Container a is 40 cm long, 30 cm wide and 24 cm high. Container B is 20 cm long, 20 cm wide and 36 cm deep. Pour the water in container B into container a until the water depth in the two containers is the same. How many mm is the water depth in both containers?
- 9. A. The bottom area ratio of two cylindrical containers B is 4:3. The water depth of container a is 20 cm, and that of container B is 10 cm. Now, the same amount of water is injected into the two containers to make the water depth of the containers equal. At this time, the water depth of container a is 20 cm, and that of container B is 10 cm______ Cm
- 10. My mother put some potatoes in a cylindrical container with a bottom area of 40 square centimeters to clean. At this time, the water depth in the container was 30 cm. After taking out the potatoes, the water dropped by 3 cm. What was the volume of these potatoes______ Cubic centimeter
- 11. In a cylindrical bottle with a bottom radius of 10 cm, the water depth is 8 cm. To put a piece of iron in the bottle, which is 8 cm in length and 15 cm in width and 15 cm in height, how many cm does the water surface rise when the iron is placed vertically in the water?
- 12. In a cylindrical bottle with a bottom radius of 10 cm, the water depth is 8 cm. To put a piece of iron in the bottle, which is 8 cm in length and 15 cm in width and 15 cm in height, how many cm does the water surface rise when the iron is placed vertically in the water?
- 13. A cuboid food box is 10 cm long, 8 cm wide and 12 cm high. Stick a circle of brand paper around it. How many square centimeters should the area of brand paper be at least?
- 14. A rectangular food box is 8 cm long, 6 cm wide and 10 cm high. If a circle of brand paper is pasted around the food box, how many square meters is the area of the brand paper at least?
- 15. Cut a cuboid 16 cm long, 8 cm wide and 10 cm high into two cuboids of exactly the same shape and size. What is the maximum and minimum surface area of the cuboid?
- 16. Cut a cube with an edge length of 8 cm into two cuboids of the same shape and size. The volume () and surface area () of each cuboid
- 17. A rectangle shaped plexiglass is 10 cm long, 8 cm wide and 6 cm high. Cut the largest cube on the plexiglass and find the rest
- 18. A cuboid glass jar is 4 decimeters long, 3 decimeters wide and 5 decimeters high. After pouring water, the water depth is 3.5 decimeters, and the poured water is () liters A. 60B. 42C. 52.5
- 19. Pour 18 liters of water into a rectangular glass tank 4 decimeters long, 3 decimeters wide and 2 decimeters high. How many decimeters is the distance between the water surface and the tank mouth?
- 20. There is water in a sealed rectangular glass fiber reinforced plastic. The lengths of the three edges intersecting one vertex of the glass jar are 10 cm, 6 cm and 5 cm respectively. Put the glass jar on the water surface in three different ways. The minimum height of water is 2 cm. What is the maximum height of water? (please draw a sketch and calculate it.)