![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
There is a conical grain pile with a bottom radius of 3 m and a height of 2 M. if you stack these grains in a cylindrical grain bin with a bottom area of 6.3 square meters and a height of 3 m, can you put them down
The volume of cone is 1 / 3 × 3.14 × 3 & # 178; × 2 = 18.84 cubic meters
Volume of cylinder = 6.3 × 3 = 18.9 cubic meters
18.9>18.84
therefore
I can put it down
If the height of the cylinder is 2 / 3 of the height of the cone and the volume of the cone is 12 cubic decimeters, what is the volume of the cylinder?
Suppose the base area of the cone and the cylinder is s, and the height of the cone is h, then the height of the cylinder is 2 / 3H
Volume of cone v = 1 / 3 * s * H = 12 = > s * H = 36
Then the volume of cylinder v = s * (2 / 3H) = 2 / 3 * 36 = 24
So the volume of the cylinder is 24 cubic decimeters
The volume sum of a cone and a cylinder is 130 cubic centimeters. The height of a cone is twice as high as that of a cylinder. The bottom area of a cone is 2 / 3 of that of a cylinder
What is the volume of each? Please explain the juxtaposition in the simplest way
130 divided by (1 + 2 / 3) = 72 square cm (bottom area of cylinder) 72x3 2 / 3 = 48 cm
Let the height of the cylinder be xcm
72x x+48x1/3x 2x=130
72x+36x =130
x =4/5
72x4 / 5 = 90 cubic cm
130-90 = 40 cubic cm
RELATED INFORMATIONS
- 1. If a cylinder and a cone are of equal height and equal bottom, the difference between their volumes is 18 cubic decimeters, then the volume of the cone is () cubic decimeters, and the volume of the cylinder is () cubic decimeters（
- 2. The volume of a cone is 48 cubic centimeters, and the volume of a cylinder with the same base and height is (); if the base area is 12 square centimeters, the height of the cylinder is ()
- 3. A cylinder and a cone are of equal height and equal bottom. The sum of their areas is 120 cubic centimeters. The volume of this cylinder is () cubic centimeters
- 4. The circumference of the bottom surface of a cone is 12.56 cm and the height is 8 cm. Cut it into two equal halves from the top along the height, and the surface area increases by () square cm
- 5. The circumference of the bottom surface of a cone is 12.56 cm and the height is 9 cm. The volume of this cone is______ Cubic centimeter
- 6. The circumference of the bottom surface of a cone is 12.56 cm, and its volume is 37.68 cubic cm. How many square cm is the bottom area of a cone, and how high is it?
- 7. A cylindrical steel with a bottom diameter of 6 decimeters and a height of 4 decimeters is melted and cast into a cone with a bottom area of 12.56 square decimeters. What is the height of the cone?
- 8. The circumference of the bottom surface of a cone is 12.56 decimeters, and its height is 20 centimeters. What is its volume cubic decimeters 1. The circumference of the bottom surface of a cone is 12.56 decimeters, and its height is 20 cm. What is its volume cubic decimeters? 2. The bottom radius of the cone is 3cm and the volume is 6.28cm3. What is the height of the cone 3. A cylindrical bucket without cover, with a bottom radius of 5 decimeters and a height of 8 decimeters, at least how much iron sheet does it need to make this bucket? 4. Dig a cylindrical pool with a bottom radius of 4 meters and a depth of 3 meters. Put cement on the ground and four walls. What is the area of cement? If 350 kg of water is used per square decimeter (note unit), how many kg of cement is shared? 5. Unfold the side of a cylinder to get a 15.7 cm square. What is the surface area of the cylinder? 6. The volume sum of a cylinder and a cone with equal base and height is 96 cubic centimeters. What are the volumes of the cylinder and the cone? 7. After a cube container with 4 decimeters long edge is filled with water, pour it into a cone with a bottom area of 12 square decimeters. What's the height of the cone
- 9. The volume of a cone is 12.56 cubic DM, the perimeter of its bottom surface is 6.28 DM, and the height of the cone is 1?
- 10. A cone tool used by construction workers is made of steel. Its bottom circumference is 12.56 cm and its height is 6 cm. If the steel weighs 7.8 g per cubic centimeter, how many kg does the tool weigh?
- 11. It is known that the radius of the bottom of the cylindrical grain barrel is 3M and the height is 4m. What is its bottom area and volume
- 12. A cone-shaped grain pile has a bottom radius of 3 m and a height of 2 M. how high can the pile be placed in a cylindrical grain bin with a bottom diameter of 4 m?
- 13. The bottom radius of a cylinder is 4 decimeters, and its height is 50% shorter than the radius. Its surface area is () square decimeters, which is the same as the volume of a cone with equal bottom and equal height () cubic decimeter
- 14. There is a difference of 16 cubic meters between the volume of a cylinder and that of a cone with equal base and height. What are the volumes of a cylinder and a cone?
- 15. A cylinder and a cone have the same base area and height. Given that the volume of a cone is 30 cubic meters less than that of a cylinder, what is the volume of a cylinder?
- 16. How do I calculate the excavation volume of a septic tank? Now the length of the bottom layer is 7.7m, the width is 12M, and the slope is 1:1. How do I calculate? What is the calculation formula
- 17. If you extend the top and bottom of a right angle trapezoid by 5cm, the area will increase by 15cm, and it will become a square. What is the area of the original trapezoid
- 18. What is the area formula of triangle and trapezoid?
- 19. The upper bottom of a trapezoid is 1 / 3 meter, the lower bottom is 2 / 3 meter, and the height is 9 / 10 meter. How many square meters is the area of this trapezoid?
- 20. Uncle Li uses a wall, as shown in the figure below, with 20 meters long rope, surrounded into a trapezoid, the trapezoid area is how many square meters?