Cylinder application problems, find application problems about cylinders and cones

1. There are 2 answers:

Surface area of the cylinder = side area + 2 * bottom area;

1) The long side of the rectangle is the perimeter of the bottom surface of the cylinder, that is, r=, r is the radius of the bottom surface.

Side area = rear rectangle area =; Base area = r = * (hence surface area =

2) The short side of the rectangle after is the perimeter of the bottom surface of the cylinder, that is, 5=2 r, and r=5 2, r is the radius of the bottom surface.

Side area = rear rectangle area =; Base area = r = *(5 2) = 25 4

Therefore, the surface area = 2, or the surface area of the cylinder.

Side area = bottom circumference * height = 6 * * 20 = 120, base area = radius * =3 * =9

Therefore, surface area = 120 +2*9 =138 =138*; Therefore, the material is sufficient;

3. The side area is sought.

Side area = bottom circumference * height =

4. What is sought is the side area + top area.

Side area = 20 * * 10 = 200 , top area = (20 2) * = 100 The area sought = 200 + 100 = 300 = 300 * cm Come on! Study hard

A cylindrical oil drum, 9 decimeters high, the bottom circumference is decimeters, how many decimeters of iron sheet is used to make such an oil drum? (The value of this question is not said, I calculated it according to 3 and 14).

14÷2=3dm

3^2×3,14×2=56,52dm^2

18,84×9+56,52=226,08dm^2

Answer: To make such an oil drum spoiler, you need to use 226,08dm 2 iron sheets. (This is counted according to the cover).

14÷2=3dm

3^2×3,14=28,26dm^2

18,84×9+28,26=197,82dm^2

Answer: To make such an oil drum you need to use 197,82dm 2 iron sheets. (This is counted as not covered).

2: A wooden rectangular medicine box, measuring 60 cm long, 50 centi wide and 26 cm high from the inside, exactly 20 bottles of medicine inside, how many cubic centimeters does each medicine bottle occupy on average?

60×50×26=78000cm^3

78000÷20=3900cm^3

A: On average, each vial occupies 3,900 cubic centimeters.

1. When Xiaoli is playing a game.

Put a base surface with a diameter of decimeters.

A 15 decimeter high plumb weight is placed in a cylindrical glass filled with water and with a bottom diameter of decimeters, and the water does not spill.

When the plumb is removed.

How many centimeters did the water drop in the cup?

Keep 2 decimal places.

2. Fill a conical container with a bottom radius of 3 decimeters high with sand, and then pour all the sand into a cylindrical container, which is just 2/7 of the cylindrical container, how many cubic decimeters is the volume of this container?

3. The radius of the bottom surface of the cylinder is 6 cm, the height is 7 cm, the side area, the surface area, and the volume are each 4, the bottom area of a cone and a cylinder is equal, and the volume ratio of the cone to the cylinder is known to be 1:6, the height of the cone is centimeter, and the height of the cylinder is cm

Fill in the blank question 1 Put the side of the cylinder to get a (rectangle), its (length) is equal to the circumference of the bottom surface of the cylinder, and (width) is equal to the height of the cylinder

This first question is the formula, and the next question you have to convert this to get the answer, and I'm too lazy to write.

All of them are used to reinforce the cylindrical activity.

Learning is a personal thing, don't be too lazy. Practice makes perfect, and more use will be.

1 side of a cylinder, you get a (rectangle), its (length) is equal to the circumference of the bottom of the cylinder, (width) is equal to the height of the cylinder

2 A cylinder with a base circumference of centimeters and a height of 25 centimeters, and its side area is (square centimeters.

3 A cylinder with a base radius of 2 cm and a height of 6 cm, and its side area is (square cm).

1. Find the circumference 30* and then the circumference * height of 50 cm according to the diameter of the bottom surface. Find the side area, and then find a base area that is the square of the radius*. Then add it up to the sum, which is the area.

2. Find the radius according to the circumference of the bottom surface, then calculate the bottom area, and then multiply by 2 to find out the 2 bottom area, the side area is the perimeter multiplied by the height, and then you have to add the number of wants.

3. Find the number of meters of water flow in an hour, 2 * 60 * 60 = 720 meters, and then find out the amount of water flowing in an hour, that is, the diameter is already known, you can find the bottom area, multiply the square by , and then use this calculated number to multiply by 720 to find the volume, and then divide the volume of the rectangle by the volume of the cylinder you calculated.

4, liters to cubic meters is to convert the diameter to meters is meters, and then you find the bottom, multiply the square by , and then divide by the bottom area, so that the height comes out.

5, I feel better to do this, the doctor's hat has seen it, the top is a square, the bottom is a cylinder, first convert the unit, the area of the square is the square, and then find the perimeter according to the diameter to find the perimeter, multiply the number by the height of 2 to find the side area, and then the area of the square plus the side area, and then multiply by 20 hats.

I think it's better to teach others knowledge than to let you understand the idea of the question, and it's better to follow it yourself!

Question 2:

The result is measured in square centimeters.

1. Square centimeters.

2. Centimeters. 3. Square decimeters.

4. Cubic centimeters.

[Kilogram = ton.]

Centimeter.

The volume of the cylinder outcropping from the water is .

v1=sh=pi*10*10*8=800piAt this point, the water surface drops by 4cm

In other words, if the cylinder is completely removed from the water, the water surface will drop by 6 cm, so the ratio of the volume of the remaining cylinder to the volume of the exposed water surface is.

v2/v1=6/4

The volume of the remaining cylinder v2= is obtained

So the total volume of the cylinder is v1 + v2 = 1200 * pi + 800 pi = 2000 * pi = 6280 cubic centimeters.

Hello! First find the volume of the cylinder out of the water: cubic centimeters) The title says: If the cylinder in the water is exposed to the water surface by 8 cm, the water surface will drop by 4 cm.

Then we can know the bottom area of the bucket: 2512 4 = 628 (square centimeters) and finally use 628 10 = 6280 (cubic centimeters) to calculate the volume of the cylinder.

The water in the bucket rises by 10 cm, and if the cylinder is exposed by 8 cm, the water level will drop by 4 cm

It can be calculated that the height of the cylinder = 8 * (10 4) = 20cm

Volume = pi * 10 2 * 20 = 2000pi

Let the height of the cylinder be h, and the radius of the bottom surface of the bucket is r,1Put a cylinder with a bottom radius of 10 cm, and if you immerse it in water, the water surface in the bucket will rise by 10 cm, indicating that the volume of the cylinder is equal to the volume of the water that rises by 10 cm.

2.If the cylinder in the water is exposed 8 cm above the water surface, the water surface will drop by 4 cm, indicating that the volume of the exposed cylinder is equal to the volume of the 4 cm drop.

3.Make a list of equations.

100πh=10πr*r

8*100π=4πr*r

The second equation gets r and substitutes it into the first formula, that is, the volume 100 h=2000 is obtained

Dissolution: The height of the cylinder is xcm

8/4=x/10

x=20 volume=

The answer is 6280, and the solution to this problem is applied to similar proportions. Let the height of the cylinder be h, h 10 = (h-8) (10-4), and get h = 20, so the volume of the cylinder is:

10 * (8 divided by 4) = 20 (cm) 10 squared times 20 = 6280 (cm).