1, cylinder: surface area: 2πRr+2πRh volume: πR2h(R is the radius of the upper and lower bottom circles of the cylinder, and h is the height of the cylinder).

2. Cone: surface area: πR2+πR[(h2+R2)] Volume: πR2h/3(r is the radius of the low circle of the cone, and H is its height.

3. Length of side A, s = 6a2, v = a3.

4. Cuboid A- length, B- width, C- height S = 2 (AB+AC+BC) V = ABC.

5, prism S-h- height v = S-h-

6, pyramid S-h- height v = S-h-/3

7.S 1 and S2- upper and lower H- height v = h [s1+S2+(s1S2)1/2]/3.

8.s 1- upper bottom area, S2- lower bottom area, S0- medium H- high, V = H (S 1+S2+4S0)/6.

9. The base radius, H- height, C- base perimeter, S- base area, S- side, S- surface area of R-cylinder, C = 2 π rs, S- side = CH, S- table = CH+2S, V = S- base H = π R2H.

10, hollow cylinder r- outer circle radius, r- inner circle radius h- height v = π h (r 2-r 2)

1 1, r- bottom radius h- height v = π r 2h/3.

12, R- upper bottom radius, R- lower bottom radius, H- height v = π h (R2+RR+R2)/3 13, ball R- radius d- diameter v = 4/3 π r 3 = π d 3/6.

14, ball gap H- ball gap height, R- ball radius, A- ball gap bottom radius V = π h (3A2+H2)/6 = π h2 (3R-H)/3.

15, table r 1 and R2- radius h- height v = π h [3 (r 12+R22)+H2]/6.

16, ring R- ring radius D- ring diameter R- ring section radius D- ring section diameter V = 2π 2RR2 = π 2d2/4.

17, barrel D- barrel belly diameter D- barrel bottom diameter H- barrel height V = π h (2d2+D2)/ 12, (the bus is round with the center of the barrel) v = π h (2d2+DD+3d2/4)/1.

Exercise questions:

1. The side length and the bottom length of the regular quadrangle P-ABCD are all equal, and the side lengths of the two regular tetrahedrons are also equal. When one side of each of these two regular tetrahedrons completely coincides with the edge pad and edge PBC of the regular quadrangular pyramid, a new polyhedron is obtained, which is ().

pentahedron

(b) heptahydronaphthalene

(c) octahedron

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2. The four vertices of a regular tetrahedron are all on a sphere, and the height of the regular tetrahedron is 4, so the surface area of this sphere is ().

(A)9

(B) 18

36

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3. The following statement is true ()

A. The sides of the prism can be triangular.

Cubes and cuboids are special quadrangular prisms.

The surfaces of all geometric bodies can be expanded into plane figures.

D all sides of a prism are equal.