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The base area of a cylinder and a cone is equal. The volume of the cone is three times that of the original one, and the height of the cylinder is several times that of the cone
Area of cylinder bottom: area of cone bottom = 1:1
Cylinder volume: cone volume = 1:3
Cylinder height: cone height = 1 ／ 1:3 × 3 ／ 1 = 1:9
The height of a cylinder is 1 △ 9 = 1 / 9 of the height of a cone
If a cone with a bottom radius of 2 and a height of 4 is cut into two parts by a plane passing through the midpoint of the height and parallel to the bottom, the ratio of the side areas of the two parts is
One to three
If the diameter of the bottom of a cone is equal to the height, a plane parallel to the bottom of the cone is used to cut the cone. The cross section obtained is an area of 12.56, and the height of the cone is at least many
The diameter of cross section is 12.56 △ 3.14 = 4,
The height is at least 4
A plane passes through the apex of the cone and cuts perpendicular to the bottom. The cross section of the cone is an equilateral triangle with a side length of 2 cm. Find the arc length of the side expansion of the cone
The arc length of the expanded side view of a cone is the circumference of the circle at the bottom of the cone,
Because a plane cuts perpendicular to the bottom through the apex of the cone, the section of the cone is an equilateral triangle with a side length of 2 cm,
So the diameter of the bottom of the cone is 2 cm, the circumference = π * 2 = 2 π (CM)
So the arc length of the cone side expansion is 2 π cm
A highway needs maintenance. Workers set up some conical roadblocks. The diameter of the bottom of each cone is 50cm. A total of 15 cones are set up. The distance between cones is 1.5m. How long is the road from the first cone to the last cone?
I don't just want answers
50 cm = 0.5 M
What is the length of 15 cones
0.5 × 15 = 7.5 (m)
Common interval
15-1 = 14
What is the interval length
1.5 × 14 = 21 (m)
How long does it take from the first cone to the last cone
7.5 + 21 = 28.5 (m)
As shown in the figure, there is a cone (that is, the large cone is cut off by a plane parallel to the bottom, and the rest of the cone) with a radius of 5cm
The radius of the bottom surface is 10 cm and the height is 15 cm?
The volume of the cone is π H (R1 & # 178; + r1r2 + R2 & # 178;) / 3
Ψ volume = π × 15 (25 + 50 + 100) = 2625 π (cubic centimeter)
There is some water in the glass. The water is immersed in a cone with a diameter of 2 cm at the bottom. The ratio of the depth of water to the distance between the water surface and the mouth of the glass is 0
A cylindrical glass with a bottom diameter of 4cm and a height of 15cm is filled with some water. A cone with a bottom diameter of 2cm is immersed in the water. The ratio of the depth of water to the distance between the water surface and the cup mouth is 2:3. When the cone is taken out, the ratio of the depth of water to the distance between the water surface and the cup mouth is 1:4. What is the volume of the cone and the height of the cone?
There is some water in a cylindrical glass with a height of 15 cm. The water is immersed in a cone with a bottom diameter of 2 cm. The ratio of the depth of water to the distance between the water surface and the mouth of the glass is 2:3. The height of water in the glass is 6 cm (15 △ 5 × 2 = 6)
How to prove that the figure enclosed by the intersection line of plane truncated cone is circle, ellipse, parabola or hyperbola?
If you are a senior high school student, you can observe the figure and understand it. If you are a college student, you can establish the cone in the spatial coordinate system and set up a plane square city
A cone is a solid figure composed of two planes
No, one is a plane and the other is a surface!
If you cut a cone with a plane parallel to the bottom of the cone, the part you cut is a frustum?
The cut part can be said to be a cone, mainly depending on whether you want to leave the upper part or the lower part
RELATED INFORMATIONS
- 1. Cone, sphere, frustum, cylinder, which of these four kinds of geometry is equal to the plane figure seen from above
- 2. For a cylinder, the height is 4 decimeters, and the bottom radius is 2.4 decimeters?
- 3. The surface area of a courtyard is 50 square centimeter, and the bottom area is 15 square centimeter. How many square centimeter is the surface area of a large cylinder made up of two such cylinders? Formula
- 4. The radius of the bottom surface of a cylinder is 8cm and the height is 6cm. The cylinder is divided into two parts equally along the diameter of the bottom surface of the cylinder (as shown in the figure). How many square centimeters does the surface area increase from the original?
- 5. There is a cylinder 10 cm high. If its height is reduced by 2 cm, its surface area will be reduced by 18.84 square cm. What is the volume of the original cylinder I need it before 8 o'clock
- 6. The plane at an angle of 30 degrees from the bottom of the cylinder cuts the cylinder to obtain an ellipse and the equation of the circle The radius of the cylinder is 4. The rectangular coordinate system is self built. I can't wait
- 7. If the vertex of the minor axis and the two focal points of the ellipse form an equilateral triangle, then the C / a of the ellipse is equal to?
- 8. If the focal length of the ellipse is equal to the distance between one end of the major axis and one end of the minor axis, then the eccentricity of the ellipse is 0
- 9. Find the double integral of 2xdydz + ydzdx + zdxdy, where the curve equation is Z = x ^ 2 + y ^ 2 (0
- 10. How to solve (3 minus root sign 2)?
- 11. How to expand the power function of Ln (1-x) / (1 + x)
- 12. Is y = 3x & # 178; a power function?
- 13. Using MATLAB to find the two limits of SiNx / X and the 1 / x power of (1 + x)
- 14. Solving differential equations with MATLAB syms a,b,c,d; dsolve('Dy(1)=1/2*a*y(2)*j','Dy(2)=-(c+d)*y(2)*j+1/2*a*y(1)*j+1/2*b*y(3)*j','Dy(3)=-d*y(3)*j+1/2*b*y(2)*j') error(' symbolic:dsolve :errmsg2','There are more ODEs than variables.') Why wrong? Where's the problem,
- 15. How to draw 3D implicit function graph with MATLAB
- 16. (1 / 2) the distance from a moving point P to a point F (1,0) on a given rectangular coordinate plane is smaller than the distance from it to a straight line x = - 2 (1 / 2) it is known that the distance from the moving point P to the point F (1,0) on the rectangular coordinate plane is smaller than the distance from it to the straight line x = - 2. (1) the trajectory equation of the moving point P is solved. (2) the straight line l passes through the point a (- 1,0) and
- 17. In the plane rectangular coordinate system xoy, it is known that P is the moving point on the image of the function f (x) = ex (x > 0). The tangent l of the image at point P intersects the y-axis at point m, and the vertical line passing through point P intersects the y-axis at point n. suppose the ordinate of the midpoint of line Mn is t, then the maximum value of T is______ ．
- 18. It is known that plane a is parallel to plane B, and the distance between them is d. if line L is in plane a, there are several lines converging with line L in plane B to form 2D
- 19. If three planes intersect each other and the three intersecting lines are parallel to each other, the three planes divide the space into two parts______ Part
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