Formulas for cylinders and cones in the second semester:
Transverse area of cylinder = bottom circumference × height.
Surface area of cylinder = bottom area ×2+ side area.
Given the perimeter and height, find the transverse area: s side =ch.
Alphabetic formula of cylinder surface area:
S table =S bottom × 2+S side, S table = 2π R2+2π R.
h
Given the diameter and height, find lateral area: s side =πdh.
Given the radius and height, find lateral area: s side =2πrh.
The height (bottom perimeter) is calculated by knowing the lateral area.
H=S side ÷C
C=
S side ÷h
Volume of cylinder = bottom area × height
Letter formula of cylinder volume: V column =S bottom H.
、V=πr2h
Volume of cone = bottom area × height × 1
three
As we all know, the volume of a cylinder is very large: h = the bottom of a V column.
Conical volume letter formula V cone = 13S base H
、V= 13πr2
h
Volume of tube: V tube =V large -V small.
Given the volume of the cone, find its height.
H = bottom of V cone ÷ 13
Bottom of s =
V-cone 1
three
÷h
Surface area of cuboid: s table =2(ab+ah+bh)
Surface area of cube: s table =6a2.
Volume of cuboid (cube, cylinder) = bottom area × height
(Unified formula of cylinder volume)