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}.

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}.

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}.

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.