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This Lesson (OVERVIEW of LESSONS on Volume of CONES) was created by by ikleyn(52786)   : View Source, ShowAbout ikleyn:
OVERVIEW of LESSONS on Volume of ConesFor your convenience, this file contains
- the list of my lessons on volume of cones in this site,
- the formula for calculating the volume of cones, and
- the list of relevant solved problems.
The Figure 1 shows an example of a cone.
Figure 1. A cone
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Formula for calculating the volume of cones
The volume of a cone is  =    =  ,
where  is the radius of the cylinder, is its height, and = is the base area (the area of the circle at the base).
My lessons on volume of cones in this site - Volume of cones
under the topic Volume, metric volume of the section Geometry, and
- Solved problems on volume of cones
under the topic Geometry of the section Word problems.
Solved problems on volume of cones - Find the volume of a cone if the base radius of the cone is of 5 cm and the height of the cone is of 10 cm.
- Find the volume of a cone if the base radius of the cone is of 4 cm and the height of the cone is of 9 cm.
- Find the volume of a composite solid body which comprises of two identical cones joined base to base, if their
common base radius is of 3 cm and the height is of 4 cm each.
- Find the volume of a composite solid body which comprises of two identical cones joined base to base, if their
common base radius is of 4 cm and the height is of 3 cm each.
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- A composite solid body comprises of the cone and the cylinder that have the same base radius measure. The cone
and the cylinder are joined base to base in a way that the centers of their bases coincide. Find the volume
of the given body if the common base radius is of 3 cm and the height of the cone and the cylinder is of 4 cm.
- A composite solid body comprises of the cone and the cylinder that have the same base radius measure. The cone
and the cylinder are joined base to base in a way that the centers of their bases coincide. Find the volume
of the given body if the common base radius is of 4 cm and the height of the cone and the cylinder is of 3 cm.
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- Find the volume of a body (a truncated cone) obtained from a cone with the base radius of 6 cm and the height
of 8 cm after cutting off the part of the cone by the plane parallel to the base in a way that the cutting plane
bisects the height of the original cone.
- Find the volume of a body (a truncated cone) obtained from a cone with the base radius of 4 cm and the height
of 6 cm after cutting off the part of the cone by the plane parallel to the base in a way that the cutting plane
bisects the height of the original cone.
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My lessons on volume of cones and other 3D solid bodies in this site are
To navigate over all topics/lessons of the Online Geometry Textbook use this file/link GEOMETRY - YOUR ONLINE TEXTBOOK.
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