Science, the problem of calculating the volume of the bottle, how to find the volume of the bottle

First measure the diameter of the bottom surface of the bottle with a scale and a triangle, thereby calculate the area of the bottom surface of the bottle S, and then inject about half a bottle of water into the bottle, as shown in Figure 1-4, first the bottle opening is erected upward, the water depth in the bottle is measured with a scale ruler, and then the bottle mouth is tightly closed, the bottle mouth is erected downward, and the height of the air column in the bottle is measured with a scale ruler, then the volume of this bottle is

Fill the bottle with water, then pour out all the water in the bottle and pour it into a regular container where the bottom area can be calculated (the length and width can be measured), and then use a ruler to measure the height of the water. The bottom area multiplied by the height is the volume of the bottle.

Fill the bottle with water, fill only the part of the cylinder, measure the bottom of the bottle with a ruler, and the height of the water, calculate the volume of water, plug the mouth of the bottle, turn the bottle upside down, measure the height of the part of the water with a ruler, multiply by the area of the bottom of the bottle, calculate the volume of the water, add the volume of water, OK

Use a scale to measure the diameter d of the bottom of the bottle

A part of the water is poured with the bottle mouth facing up, and the water surface height is measured L1

Then plug the bottle mouth, turn the bottle mouth upside down, and then measure the height of the water surface from the bottom of the bottle l2 volume v = pi * d square * (l1 + l2).

Fill the bottle with water to the neck, first measure the volume of the cylinder below the neck, and turn the bottle upside down (water does not leak).

Measure the volume of the anhydrous part of the upper part of the bottle after inversion (the anhydrous part can be regarded as a cylinder at this time).

Add it up to the volume of the bottle.

<> steps to find the volume of the bottle:

1. Fill the bottle with water, and the volume of water in the bottle is the volume of the bottle;

2. Pour the water from the limb in the bottle into the graduated cylinder.

and read out the number of graduated cylinders;

3. The indication of the graduated cylinder is the slippery volume of water, and the volume of the bottle is found when you know the volume of water.

<> steps to find the volume of the bottle:

1. Fill the bottle with water, and the volume of water in the bottle is the volume of the bottle;

2. Pour all the water in the bottle into the graduated cylinder and read out the number of the graduated cylinder;

3. The number of the graduated cylinder is the volume of water, and the volume of the bottle is found when you know the volume of water.

At the beginning of the lesson, the teacher holds a bottle in his hand and asks: Children, what do you see in the teacher's hand? What math questions can you ask about bottles?

The bottom area, height, and volume of the bottle) You can ask so many math problems in a bottle, it's really great, and the teacher praises you! Let's tackle these issues one by one. (Board book:

Problem solving) How to find the bottom area of the bottle? What about high? Well, these problems can be solved by measuring.

So, how do we find the volume of the bottle? (Default: The label on the bottle shows the content.)

Please observe whether the net content on the bottle label is the volume of this bottle. (No, in order to prevent thermal expansion and contraction, there is a section on the bottle that is devoid of water) So what part of the volume of the bottle is included? (The volume of water and the volume of air in front of the bottle mountain chain) Awesome, you guys are very careful.

Based on previous learning experience, how to solve the volume of the bottle? Students are invited to work in small groups to observe carefully, communicate with each other, and work out solutions. Okay, please tell us your solution.

Named with teaching aids) Teacher's board book: The volume of the bottle = the volume of water + the volume of the air part How to find the volume of water? How do you find the volume of the air part above?

Okay, based on our learning experience, what can we do to solve the volume of the air part? (Using the conversion method, we can turn the bottle upside down.) The teacher demonstrates that the bottle is upside down, and after it is turned upside down, what has changed?

What hasn't changed? (The volume remains the same, the shape changes) because the water surface is too high, the air part is not easy to measure, so open the lid and take a big sip, and then turn it upside down to observe. Students are invited to follow our research method, and then work together in small groups to find the volume of the bottle.

Note that the bottle must be laid flat when it is turned upside down. (Begin) the teacher makes rounds, names the board to perform, and narrates the arithmetic. The teacher asked

Why do we calculate different results for the same bottle? The teacher announces that the bottom surface of the bottle is 6 cm in diameter. Please see, the teacher drinks some more, do you know how much water the teacher drinks?

Ask the students to try to do it in their own exercise books. Report by name.

The teacher shows an example problem of calling a black tea bottle and asks the students to read the problem and calculate it by themselves. Report again.

Let's recall, what method did we use to solve the bottle volume problem? The transformation method is very widely used in mathematics learning, can you give an example? You guys are amazing!

I hope that in the future study, students can also observe carefully, start to brain, and use a variety of methods to solve practical problems in life.

Summary. Because the density of liquids in the world is basically different, rapeseed oil, water, beverages, pigments, etc. are not the same, the same bottle can hold a lot of water, but can not hold the same volume of oil, must make the bottle larger, in order to hold the same volume of oil.

Questions for science lessons: +1Why are bottles made in different capacities?

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Because the density of liquid in the world is basically different, rapeseed oil, water, drinking hole material, pigment and so on are not the same, the same bottle can hold a lot of water, but can not hold the same volume of oil, must make the bottle larger, in order to hold the same volume of oil.

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The diameter of the bottle is 8, the height of the liquid is 10 when it is put forward, the height of the bottle hole is 30, and the height of the liquid Nabi leak is 22 when it is reversed.

Then the radius of the bottle is 4, the liquid volume is, and when turned upside down, the air part is a cylinder with a height of 30-22=8, so the air part volume is.

So the volume of the bottle = liquid wisdom grip volume + air volume =

Weigh the mass of the empty bottle first, and record the result a;

Then weigh the mass of the bottle after filling it with water, and record the result b;

Next, calculate the mass of the water as b-a

Finally, the volume of water is calculated as the volume of the bottle.

The algorithm is: volume of water = mass of water density of water.

If it's a cylinder, divide by 2 to equal the radius.

Multiplication equals base area.

The capacity is equal to the base area multiplied by the height equals.

The volume of the bottle is equivalent to the volume of a cylinder with a base diameter of 8 cm and a height of 10 + 4 = 14 cm.

How to use density to find the volume of a glass bottle in physics.

1.The mass of the bottle is measured with a balance of m1

2.Fill the bottle with water and measure its mass to m2

3.Then the mass of water in the bottle is m1-m2, and the bottle capacity v can be found by the density formula

Pour out the water and pour it into a graduated cylinder, or weigh it directly into a catty.

Fill it with water, pour the water into the graduated cylinder, and change it if the unit is not uniform.

Fill the bottle with water first, then pour the water into a graduated cup.

Fill with water and pour it into a professional measuring tool.