How to Make a Cone in GeoGebra

You can use GeoGebra to draw cones. GeoGebra has four built-in tools for drawing cones depending on the information you have about the cone:

If you have been given a circle and a height, choose Item 4.
If you know the center of the base, the apex, and the radius, choose Item 4 or Item 5.
If you have been given a base point, a vector, and an angle, choose Item 5.

GeoGebra Instruction 1

Cone Given by a Circular Base and Height

1.: Open Algebra View and Graphics View under View in Menu.
2.: Use Circle with Center through Point or Circle: Center & Radius to draw a circle in Graphics View.
3.: Type

Cone(Circle, Height)

in Algebra View.
4.: Replace the Circle field with the name of the circle that you have drawn, and replace the Height field with the height that you want for the cone.

The cone will now appear in 3D Graphics. The volume of the cone is shown in Algebra View.

Example 1

Draw a cone in GeoGebra with a radius of 3 and a height of 2.

Follow Item 4 for solving this exercise. Draw a circle in Graphics View with radius 3 and type

Cone(Circle, Height)

in Algebra View. Replace the Circle field with the name of the circle and replace the Height field with 2. The cone will now appear in 3D Graphics.

GeoGebra Instruction 2

Drawing a Cone Using the `Cone` Tool

1.: Open Algebra View and 3D Graphics under View in Menu.
2.: Click on the Cone tool.
3.: Click on two points inside 3D Graphics. The first point you select is the center of the base and the second point is the apex of the cone.
4.: Type in the radius of the cone.

The cone will now appear in 3D Graphics. The volume of the cone is shown in Algebra View.

GeoGebra Instruction 3

Drawing a Cone Given by the Center of the Base, Apex and Radius

1.: Open Algebra View and 3D Graphics under View in Menu.
2.: Type

Cone(Point, Point, Radius)

in Algebra View.
3.: Replace the first Point field with the coordinates of the center of the base.
4.: Replace the second Point field with the coordinates of the apex.
5.: Replace the Radius field with the desired radius.

The cone will now appear in 3D Graphics. The volume of the cone is shown in Algebra View.

Example 2

Draw a cone in GeoGebra using the coordinates (0, 0, 0) as the center of the base and (0, 0, 6) as the apex, and let the base have a radius of 4.

Follow Item 4 by typing

Cone(Point, Point, Radius)

in Algebra View. Then type in the values in the fields they belong to, and the cone will appear in 3D Graphics.

GeoGebra Instruction 4

Drawing a Cone Given by the Center of the Base, Vector and Angle

1.: Open Algebra View and Graphics View under View in Menu.
2.: Type

Cone(Point, Vector, Angle)

in Algebra View.
3.: Replace the Point field with coordinates of your point. This will be the center of the base.
4.: Replace the Vector field with the coordinates of your vector.
5.: Replace the Angle field with a value of your angle. The angle must be written using radians.

The cone will now appear in 3D Graphics. The volume of the cone is displayed in Algebra View.

Example 3

Draw a cone in GeoGebra using (3, 4, 0) as the center of the base, a vector that passes through $(1, 2, 0)$ , and an angle of $45 °$ .

Follow Item 5 for solving this exercise. In Algebra View, type

Cone(Point, Vector, Angle)

and type the values into the fields they belong to. Recall that you have to type the angle in radians in the Angle field, which in this case is $\frac{π}{4}$ . The cone will appear in 3D Graphics.

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Go back

Cone Given by a Circular Base and Height

Drawing a Cone Using the Cone Tool

Drawing a Cone Given by the Center of the Base, Apex and Radius

Drawing a Cone Given by the Center of the Base, Vector and Angle

Drawing a Cone Using the `Cone` Tool