GeoGebra
GeoGebra has tools that can be used to draw cylinders in 3D space and compute their volumes:
-
If you know the radius and height, use Item 4.
-
If you know the center of the base, center of the top, and the radius, use Item 4.
GeoGebra Instruction 1
Cylinder Given by Radius and Height
- 1.
- Open
Algebra ViewandGraphics Viewunder
Viewin
Menu. - 2.
- Draw a circle in
Graphics Viewby using either theCircle with Center through Point
or Circle: Center & Radius
tool. - 3.
- Type
Cylinder(Circle, Height)
in
Algebra View. - 4.
- Type the name of the circle in the
Circlefield and the desired value of the height in theHeightfield. - 5.
- The cylinder will now appear in
3D Graphics. The volume of the cylinder is displayed inAlgebra View.
Example 1
Draw a cylinder in GeoGebra with a radius of 3 and a height of 4.
Follow Item 4 for solving this exercise. Draw a circle with the given radius in Graphics View. Then use
Cylinder(Circle, Height)
where you type in the name of the circle and the given height.
GeoGebra Instruction 2
Cylinder Given by Base Centers and Radius
- 1.
- Open
Algebra Viewand3D Graphicsunder Viewin Menu. - 2.
- Click on
Cylinder
. - 3.
- Click on two points in
3D Graphicsand type the desired radius. - 4.
- The cylinder will now appear in
3D Graphics. The volume of the cylinder can be read inAlgebra View. - 5.
- Alternatively, you can type
Cylinder(Point, Point, Radius)
in
Algebra Viewand type the coordinates of the center of the cylinder’s base in the firstPointfield, the coordinates of the center of the cylinder’s top in the secondPointfield, and the value of the radius in theRadiusfield.
Example 2
Draw a cylinder in GeoGebra with (2, 1, 0) as the center of the base, (0, 0, 5) as the center of the top, and a radius of 3
Follow Item 4 and type
Cylinder(Point, Point, Radius)
in Algebra View, using the given values in the fields where they belong.
