## Sketch

### Surface area of a cone

**Formula**: (Π * ^{r2}) (Π * r * s) = O

Base area = Π * ^{r2}

Π (Pi) = 3.141592

Only 6 decimal places are displayed for Pi here.

**Example calculation:** (Π * ^{5cm2}) (Π * 5cm * 15cm) = 314.^{16cm2}

### Shell of a cone

**Formula**: Π * r * s = M

Cone = Pi * radius * side height

Π = 3.141592

Only 6 decimal places are shown for Pi here.

**Example calculation:** Π * 7cm * 15cm = 329.^{87cm2}

### Volume of a cone

**Formula**: (Π * ^{r2} * h) / 3 = V

Π (Pi) = 3.141592 (Only 6 decimal places are displayed for Pi.)

**Example calculation:** (Π * ^{3cm2} * 10cm) / 3 = 94.^{25cm3}

## How do you calculate the volume of a cone?

To calculate the volume of a cone, you need the formula V = (1/3) * π * r² * h. Where "V" stands for the volume, "π" for the circle number (approximately 3.14), "r" for the radius of the base and "h" for the height of the cone.

To apply this formula, you first need to know the radius and the height of the cone. The radius is the distance from the center of the base to the edge, while the height is the distance from the top of the cone to the base.

Once you have these values, you can plug them into the formula and calculate the volume. Don't forget to express the result in appropriate units - for example, cubic centimeters or liters.

## How do you calculate the surface area of a cone?

The lateral surface of a cone is the area surrounding its sides. To calculate the surface area, you need the formula M = π * r * s. Where "M" stands for the circumference, "π" for the number of circles and "s" for the length of the side line of the cone.

To apply this formula, you first need to know the radius and height of the cone. Then you can calculate the value of "s" using the Pythagorean theorem: s = √(r² h²).

Once you know "s", you can insert it into the formula and calculate the circumference of the cone. Here, too, it is important to specify the result in suitable units - for example, square centimetres or square meters.

## How do you calculate the surface area of a cone?

The surface area of a cone is made up of the base and the lateral surface. To calculate it, you therefore need to add the volume and the surface area.

The formula is O = π * r² π * r * s. Where "O" stands for the surface area.

To use this formula, you first need to know the radius and height of the cone. Then you can calculate the volume using the formula above and the surface area using the formula M = π * r * s.

Once you have both values, you can add them together and calculate the surface area of the cone. Here, too, it is important to specify the result in the appropriate units - for example, square centimetres or square meters.