S lateral area =Ch=2πrh, bottom circumference c = 2π r = π D. (where r is radius, h is height and d is diameter).

Other formulas:

Volume:

The space occupied by a cylinder is called the volume of the cylinder.

Finding the volume of a cylinder is the same as finding the volume of a cuboid or cube, which is the bottom area × height.

Suppose the radius of the cylinder bottom is r and the height is h, then the volume of the cylinder?

S is the bottom area, h is the height, and v is the volume. The relationship between them is: where?

Extended data:

1. The two circular surfaces of a cylinder are called the bottom surface, and the surrounding surfaces are called the side surfaces. A cylinder consists of two bottom surfaces and one side surface.

2. The two bottom surfaces of a cylinder are two identical circular surfaces. The distance between the two bottom surfaces is the height of the cylinder.

3. The side surface of the cylinder is a curved surface, and the development diagram of the side surface of the cylinder is a rectangle, a square or a parallelogram (diagonal cutting).

Transverse area of cylinder = X height of bottom circumference, i.e.:

S transverse area =Ch=2πrh.

Bottom circumference C=2πr=πd

Surface area of cylinder = lateral area+bottom area x2 = ch+2π r 2 = 2π r (r+h).

4. Volume of cylinder = bottom area x height

That is, V=S bottom area× h = (π× r× r) h.

The volume of a cylinder with equal base and equal height is three times that of a cone.

6. A parallelogram can enclose a cylinder.

7. Surface area of cylinder = side area+bottom area x2.

8. Divide the cylinder into two identical parts along the diameter of the bottom surface, and each part is called a semi-cylinder. At this time, compared with the original cylinder, the surface area =πr(r+h)+2rh, and the volume is half of the original.

9. The axial section of a cylinder is a rectangle with a diameter of x and the section is a circle with the same bottom.

Reference: Baidu Encyclopedia-Cylinder