All formulas for circles and cylindrical cones, formulas for cylinders and cones

Cylindrical volume: v = base area height or v = 1 2 side area height.

Cylindrical side area: S side = bottom surface circumference height.

Cylindrical surface area: S surface = side area + 2 base areas.

The letter indicates: Cylindrical Volume:

v = sh cone volume: v = sh 3

Cylindrical side area: S=CH2 RH DH

Cylindrical surface area: s=ch+2 r2

The base area of the cylinder = the area of the circle (

r r) cone.

Base area = area of the circle (

r r) volume: v = base area height 3

Side area = (1 2) (2 r) l = rl

In the formula, r is the radius of the bottom surface, l is the conical busbar, and is the radian of the center angle of the side view.

The formula for cylinder and cone is as follows:

Cylindrical volume: v = base area height or v = 1 2 side area height. Cone volume: v=base area height 3;Cylindrical side area:

S side = bottom circumference height; Cylindrical surface area: S surface = side area + 2 base areas. The letters indicate:

Cylindrical volume: v=sh; Cone volume: v=sh3;Cylindrical side area:

s=ch/2πrh/πdh；Cylindrical surface area: s=ch+2 r

The two round faces above and below the cylinder are called the sides of the cylinder, the bottom surface is flat, and the side is curved. The distance between the two bottom surfaces of a cylinder is called the height of the cylinder, and the height of the cylinder is innumerable, and all the heights of the same cylinder are equal in length. A circular surface under the cone is called the bottom surface, and its surroundings are called the sides, the bottom surface is flat, and the sides are curved surfaces.

The distance between the vertex of the cone and the center of the pid is called the height of the cone, the height of the cone is only one, and the line segment from the vertex to any point on the bottom circle is called the bus bar of the cone.

In the case of equal bottom and contour level, the volume of the cylinder is 3 times that of the cone, the volume of the cone is the volume of the cylinder, and the volume of the cone is less than that of the cylinder and the volume of the cylinder is 2 times more than the volume of the cone. In the case of equal volume and equal height, the bottom area of the cone is 3 times the area of the bottom of the cylinder, and in the case of equal volume and equal floor area, the height of the cone is 3 times the height of the cylinder.

The formula for cylinder and conic is as follows:

The volume formula for a cylinder is: v cylinder = r2 h. where r is the radius of the bottom circle and h is the height of the cylinder.

The volume formula of the cone is: v cone = 1 3 r2 h. where r is the radius of the bottom circle and h is the height of the cone.

Characteristics of the cylinder: The cylinder is composed of 1 side and 2 bottom surfaces. The two bases are exactly the same circle, the sides are curved, (and the back is a rectangle), and the distance between the two bases is called the height of the cylinder, and there are countless lines.

Characteristics of the cone: The cone consists of 1 vertex, 1 side, and 1 bottom surface. The distance from the apex of the cone to the center of the hull is called the height of the cone, and it is only 1.

What figure does you get after the sides of the cylinder? How do the parts of this figure relate to the cylinder? (Derivation of the formula for the area of the cylindrical side).

1) The side of the cylinder is generally high and then a rectangle is obtained.

2) The length of the rectangle is equivalent to the circumference of the bottom surface of the cylinder, and the width of the rectangle is equivalent to the height of the cylinder.

3) Because: rectangular area = length and width, so: cylindrical side area = bottom perimeter height.

4) The sides of the cylinder may also get a square along the height.

The length of the side of the square = the circumference of the bottom surface of the cylinder = the height of the cylinder.

The area of the cylindrical side and the circumference of the bottom surface are high.

s=ch=πdh=2πrh

Cylindrical surface area Side area Bottom area 2

s＝2πrh++2πr

The side area of the cylinder = the circumference of the bottom circle is high.

The surface area of the cylinder = the area of the upper and lower bottom surfaces + the side area.

The volume of the cylinder = the base area is high.

The volume of the cone = the base area is 3 high

The side area of the cone = (pi, bus length, number of angles at the center of the circle) 180 The surface area of the cone = the side area + the area of the bottom circle.

Is this it? If yes,!

Cylindrical: Cylindrical volume: v = base area high or v = 1 2 side area high, cylindrical side area:

S side = bottom circumference height, cylindrical surface area: S surface = side area + 2 base areas. Cone:

Base area = area of the circle (r r), volume: v = base area height 3, side area = (1 2) (2 r) l = rl, in the formula r is the radius of the bottom surface, l is the cone busbar, is the radian of the center of the circle in the side view.

Extended cylindrical side i area (1) Original column side area = bottom perimeter height of the cylinder S side = c h. Since c=2 r c= d the cylindrical side area can also be written: s side = 2 r h or s side = d h.

2) Bottom circumference = cylindrical side area Cylindrical height c=s side h. Bottom surface diameter = cylindrical side area Cylindrical height Pi d=s side h. Bottom radius = area of the cylindrical side Height of the cylinder Pi 2 r=s side h 2.

Surface area of the cylinder Surface area of the cylinder = bottom perimeter height + bottom area 2 s table = c h + r r 2. The volume of the cylinder The volume of the cylinder = the bottom area of the height v column = s the bottom h. The bottom area of the cylinder = the volume of the cylinder The height of the cylinder S bottom = v

h。The height of the cylinder = the volume of the cylinder The area of the bottom surface of the cylinder h= v s bottom. The volume of the coneThe volume of the cone = the area of the bottom of the cone, the height of the v, the cone = the bottom of the s, the filial piety of H3.

The base area of the cone = the volume of the cone 3 the height of the cone and the bottom = v 3 h. The height of the cone = the volume of the cone 3 the bottom area of the cone h=v 3 s bottom.

Cone:1.Surface area.

The area of the surface of a cone is called the surface area of the cone

The surface area of the cone is composed of two parts: the side area and the bottom area. Full area (s) = S side + S bottom.

where S side = <>

r: bottom radius, l: conical busbar, side view of the center of the circle angle radian) 2Volume. The size of the space occupied by a cone is called the volume of the cone.

The volume of a cone is equal to the volume of a cylinder of equal height to its base 1 3.

According to the formula v=sh(v= r 2h) for the volume of the cylinder, the formula for the volume of the cone: <

Where S is the bottom area of the cylinder, H is the height of the cylinder, and R is the radius of the bottom surface of the cylinder.

Cylinder. 1.Surface area.

The surface area of the cylinder = side area + two base areas (S table = S side + 2s bottom) S table = <>

S side = <>

Bottom = <>

2.Volume. The size of the space occupied by the cylinder is called the volume of the cylinder Finding the volume of a cylinder is the same as finding a cuboid or a cube, which is the height of the base area.

Let the radius of the bottom surface of a cylinder be r and the height be h, then the volume of the cylinder is <>s is the base area, the height is h, and the volume is v, and the relationship between the three is: <

V-column = sh h=v column s v cone = 1 3sh h = 3v s

V-column = v-r r h s = v-column h v cone = 1 3 vr r h s = 3v h

V-pillar = v(d 2) (d 2)h v cone = 1 3 v(d 2) (d 2) h

V-column = v(C2V) H V-cone = 1 3 v(C2V) H

S-bar table = S side + 2s bottom.

S side = CH S side = 2 vultures side = vuldh

S base = vulr rps: is a multiplier sign, v = volume, h = cylinder height, r = radius, c = area, s = surface area.