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A rectangular cylinder cone of equal base area and volume, the longest of which is Give reasons
Cone
According to their volume formula, V is the volume and S is the bottom area
Height of cuboid = V / S
Height of cylinder = V / S
The cone has v = 1 / 3 * sh, so h = 3V / s
Which is larger than the volume of a cylinder, cube, or cuboid with the same base and height?
I chose the column on the test paper, but it was wrong
These objects are all cylinders, and their volume calculation formula is v = sh, that is, the area of the bottom multiplied by the height, so if the bottom is equal to the height, the volume is equal
Who is bigger than the volume of a cylinder, cube or cuboid with the same base and height
Building owner
The cylinder with equal height and equal bottom has the largest volume
As for the specific arithmetic process, you can do it yourself. There are too many for you to work out
Please understand. But the answer is: the volume of the cylinder is large
Is the volume of a cylinder with equal base and height equal to that of a cube?
A judgment question
That's right
Cylinder volume = bottom area × height
Cuboid area = length × width × height = bottom area × height
So they are equal
Is there a formula for calculating the weight of various steels?
Formula for calculating the amount of steel bars in reinforced concrete of various structures
Material weight calculation
Round steel weight (kg) = 0.00617 × diameter × diameter × length
Weight of square steel (kg) = 0.00785 × side width × side width × length
Weight of hexagonal angle steel (kg) = 0.0068 × width of opposite side × width of opposite side × length
Octagonal steel weight (kg) = 0.0065 × width of opposite side × width of opposite side × length
Rebar weight (kg) = 0.00617 × calculated diameter × calculated diameter × length
Weight of angle steel (kg) = 0.00785 × (side width + side width - side thickness) × side thickness × length
Weight of flat steel (kg) = 0.00785 × thickness × side width × length
Steel pipe weight (kg) = 0.02466 × wall thickness × (outer diameter wall thickness) × length
Calculation of volume of hexahedron
Formula (1) s20.866 × H / M / K is opposite edge × opposite edge × 0.866 × height or thickness
Weight conversion formula of various steel pipes
Weight of steel pipe = 0.25 × π × (outer diameter square inner diameter Square) × L × specific gravity of steel, where: π = 3.14 L = length of steel pipe, specific gravity of steel pipe is 7.8, so weight of steel pipe = 0.25 × 3.14 × (outer diameter square inner diameter Square) × l × 7.8 * if dimension unit is meter (m), the weight result is kilogram (kg)
Density of steel: 7.85g/cm3 (Note: unit conversion)
Calculation of theoretical weight of steel
The unit of measurement for calculating the theoretical weight of steel is kilogram (kg)
W (weight, kg) = f (sectional area, mm2) × L (length, m) × ρ (density, g / cm3) × 1 / 1000
The formula for calculating the theoretical weight of various steels is as follows:
Name (unit)
Calculation formula
Symbolic meaning
Calculation examples
Wire rod (M / kg)
W= 0.006165 ×d×d
D = diameter mm
For round steel with diameter of 100 mm, calculate the weight per M. weight per M = 0.006165 × 1002 = 61.65kg
Rebar (kg / M)
W= 0.00617 ×d×d
D = section diameter mm
The weight per m of rebar with cross section diameter of 12 mm = 0.00617 × 12 2 = 0.89kg
Square steel (kg / M)
W= 0.00785 ×a ×a
A = edge width mm
For square steel with side width of 20 mm, calculate the weight per M. the weight per M = 0.00785 × 202 = 3.14 kg
Flat steel
（kg/m）
W= 0.00785 ×b ×d
B = side width mm
D = thickness mm
For flat steel with side width of 40 mm and thickness of 5 mm, calculate the weight per M. the weight per M = 0.00785 × 40 × 5 = 1.57 kg
Hexagons
（kg/m）
W= 0.006798 ×s×s
S = opposite distance mm
For the angle steel with 50 mm distance from the opposite side, calculate the weight per M. the weight per M = 0.006798 × 502 = 17kg
Octagonal steel
（kg/m）
W= 0.0065 ×s ×s
S = opposite distance mm
For octagonal steel 80 mm apart from the opposite side, calculate the weight per M. the weight per M = 0.0065 × 802 = 41.62kg
Equilateral angle steel
（kg/m）
= 0.00785 ×[d （2b – d ）+0.215 （R2 – 2r 2 ）]
B = side width
D = edge thickness
R = inner arc radius
R = end arc radius
Find out the weight per m of 20 mm × 4 mm equilateral angle steel. Find out from the metallurgical product catalog that R of 4 mm × 20 mm equilateral angle steel is 3.5, R is 1.2, then the weight per M = 0.00785 × [4 × (2 × 20 – 4) + 0.215 × (3.52 – 2 × 1.22)] = 1.15 kg
Unequal angle steel
（kg/m）
W= 0.00785 ×[d （B+b – d ）+0.215 （R2 – 2 r 2 ）]
B = length side width
B = short side width
D = edge thickness
R = inner arc radius
R = end arc radius
The weight per m of 30 mm × 20 mm × 4 mm unequal angle steel is calculated. It is found from the metallurgical product catalog that R of 30 × 20 × 4 unequal angle steel is 3.5 and R is 1.2, then the weight per M = 0.00785 × [4 × (30 + 20 – 4) + 0.215 × (3.52 – 2 × 1.22)] = 1.46kg
Common data
1 meter (m) = 3.281 feet
1 inch = 25.4 mm
1 lb = 0.4536 kg
1 oz = 28.3 G
1kg force = 9.81n
1 LBF = 4.45 n
1 MPa = 145.161 lb / in
Specific gravity (density) of steel: 7.8g/cm
Specific gravity (density) of stainless steel: 7.78g/cm
Specific gravity (density) of aluminum: 2.7g/cm
Zinc specific gravity (density): 7.05g/cm
A simple formula for calculating the theoretical weight of several metal profiles is as follows
1. Angle steel: weight per meter = 0.00785 × (side width + side width - side thickness) × side thickness
2. Pipe: weight per meter = 0.02466 × wall thickness × (outer diameter wall thickness)
3. Round steel: weight per M = 0.00617 × diameter × diameter (rebar and round steel are the same)
4. Square steel: weight per M = 0.00786 × side width × side width
5. Hexagonal angle steel: weight per M = 0.0068 × diameter of opposite side × diameter of opposite side
6. Octagonal steel: weight per M = 0.0065 × diameter × diameter
7. Equilateral angle steel: weight per M = side width × side thickness × 0.015
8. Flat steel: weight per M = 0.00785 × thickness × width
9. Seamless steel pipe: weight per M = 0.02466 × wall thickness × (outer diameter wall thickness)
10. Welded steel: weight per M = seamless steel pipe
11. Steel plate: weight per m2 = 7.85 × thickness
12. Brass pipe: weight per meter = 0.02670 × wall thickness × (outer diameter wall thickness)
13. Copper tube: weight per meter = 0.02796 × wall thickness × (outer diameter wall thickness)
14. Aluminum pattern plate: weight per square meter = 2.96 × thickness
15. Non ferrous metal density: red copper plate 8.9 yellow copper plate 8.5 zinc plate 7.2 lead plate 11.37
16. The calculation formula of non-ferrous metal sheet is: weight per square meter = density × thickness
17. Square tube: weight per meter = (side length + side length) × 2 × thickness × 0.00785
18. Unequal angle steel: weight per meter = 0.00785 × side thickness (long side width + short side width - side thickness)
19. I-beam: weight per meter = 0.00785 × waist thickness [height + F (leg width waist thickness)]
20. Channel: weight per meter = 0.00785 × waist thickness [height + e (leg width waist thickness)]
remarks:
1. The accurate calculation formulas of angle steel, I-beam and channel steel are very complicated, and the tabulated formulas are used to calculate the approximate values
2. F value: 3.34 for general model and belt a, 2.65 for belt B and 2.26 for belt C
3. E value: 3.26 for general model and belt a, 2.44 for belt B and 2.24 for belt C
4. Each length is in mm
A formula for calculating the weight of steel
m=ρV；
W (weight, kg) = f (sectional area, mm2) × L (length, m) × ρ (density, g / cm3) × 1 / 1000;
Is the weight calculated by these two formulas the same?
Is there any difference between the two formulas
The simplest is: length x width x Height x density
I want to calculate the weight of a cylinder with a diameter of 500cm and a height of 151cm
You can calculate its volume first
500 cm = 5 m
151 cm = 1.51 M
volume
=3.14×（5÷2）²×1.51
About 29.63 M3
As long as you know its density, you can calculate its weight
Volume x density = weight
How many kilograms is 18 liters of paint?
How many kilograms is 18 liters of paint worth?
Normally, according to the density of paint, 1kg is about 1.2L, 18L is 15kg
How many kilos is 1MPa? How to convert?
1MPa=10kg/cm2
Engineering people often say how many kg pressure refers to kg / cm2, and the pressure gauge is often marked MPa
1N/m2=1Pa 1kg=9.8N 1m2=10000cm2
So 1kg / cm2 = 98kpa = 0.098mpa
In engineering, people approximately take 1MPa = 10kg / cm2
How many jin is one liter of Nippon Paint equal to? How to convert?
For 1L, we all say 1.5kg
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