Cylinders - calculate volume, surface area and surface area
A cylinder is a surface whose points have an identical distance from the axis and are bounded by two base surfaces. The formula for calculating the volume is Π * r2 * h = V. The formula for the lateral surface of the cylinder is 2 * Π * r * h = M and the formula for the surface is (2x base area) lateral surface = O.
Π (Pi) = 3.141592 (Only 6 decimal places are shown for Pi.)
Example calculation: Π * 3cm2 * 10cm = 282.74cm3 The volume is 282.74cm3.
Cylinder sketch
Surface of a cylinder
Formula: 2 * Π * r * h = M
Surface = 2* Pi * radius * height
Π = 3.141592 Only 6 decimal places are shown for Pi here.
Example calculation: 2 * Π * 6cm * 20cm = 753.98cm2 The surface area is ~ 753.98cm2.
Cylinder sketch
Surface area of a cylinder
Formula: (2 * Π * r2) (2 * Π * r * h) = O
Base area = 2 * Π * r2
Π (Pi) = 3.141592 Only 6 decimal places are displayed for Pi here.
Example calculation: (2* Π * 6cm2) (2* Π * 6cm * 20cm) = 980.17cm2 The surface area is ~ 980.17cm2.
Cylinder sketch
Calculation
The calculation of a cylinder typically includes the calculation of the volume, the surface area or the lateral surface.
1. volume: The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius of the base (which is a circle) and h is the height of the cylinder. The volume indicates how much space the cylinder takes up.
2. surface area: The surface area of a cylinder consists of two circles (the upper and lower base) and a rectangle (the lateral or lateral surface). The total surface area of a cylinder is calculated using the formula A = 2πrh 2πr². Where r is the radius of the base and h is the height of the cylinder.
3. lateral surface area: The lateral surface area of a cylinder is the area of the side surface, which looks like a rolled rectangle. It is calculated using the formula A = 2πrh, where r is the radius and h is the height.
It is important to note that these formulas assume that the cylinder is a "right cylinder", i.e. it is perpendicular to its base. For inclined cylinders, the calculations are more complex.
