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This Lesson (OVERVIEW of LESSONS on Volume of CYLINDERS) was created by by ikleyn(52787)   : View Source, ShowAbout ikleyn:
OVERVIEW of LESSONS on Volume of CylindersFor your convenience, this file contains
- the list of my lessons on volume of cylinders in this site,
- the formula for calculating the volume of cylinders, and
- the list of relevant solved problems.
Major notions related to the volume of cylindersFigures 1a and 1b illustrate the major notions related to the volume of cylinders.
Figure 1a. Cylinder
(general definition)
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Figure 1b. Right circular
cylinder
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Formula for calculating the volume of cylinders
The volume of a cylinder 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 cylinders in this site - Volume of cylinders
under the topic Volume, metric volume of the section Geometry, and
- Solved problems on volume of cylinders
under the topic Geometry of the section Word problems.
Solved problems on volume of cylinders - Find the volume of a cylinder if the radius of the cylinder is of 5 cm and the height of the cylinder is of 4 cm.
- Find the volume of a cylinder if the radius of the cylinder is of 4 cm and the height of the cylinder is of 5 cm.
- Two cylinders are joined in a way that the base of one cylinder is overposed on the base of the other.
The radius of one cylinder is 5 cm and the height is 2 cm.
The radius of the other cylinder is 2 cm and the height is 5 cm. Find the volume of the composite body.
- Two cylinders are joined in a way that the base of one cylinder is overposed on the base of the other.
The radius of one cylinder is 10 cm and the height is 4 cm.
The radius of the other cylinder is 4 cm and the height is 10 cm. Find the volume of the composite body.
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- Find the volume of the solid body concluded between two co-axial cylindrical surfaces of the radii of 10 cm
and 5 cm respectively if the common height of the two cylindrical shells is of 8 cm.
- Find the volume of the solid body concluded between two co-axial cylindrical surfaces of the radii of 8 cm
and 4 cm respectively if the common height of the two cylindrical shells is of 10 cm.
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- Four through cylindrical holes are made in the solid cylinder parallel to its axis of symmetry.
Find the volume of the obtained solid body if the diameter of the original cylinder is 10 cm, its height
is 8 cm and the diameter of each hole is 2 cm.
- Four through cylindrical holes are made in the solid cylinder parallel to its axis of symmetry.
Find the volume of the obtained solid body if the diameter of the original cylinder is 20 cm, its height
is 16 cm and the diameter of each hole is 4 cm.
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- A through cylindrical hole is made in a rectangular prism (rectangular box) of dimensions 6x8x10 cm along
its axis of symmetry parallel to the shortest edge.
Find the volume of the obtained solid body if the diameter of the hole is 2 cm.
- A through cylindrical hole is made in a rectangular prism (rectangular box) of dimensions 3x4x5 cm along
its axis of symmetry parallel to the shortest edge.
Find the volume of the obtained solid body if the diameter of the hole is 2 cm.
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- A pie, which has a cylindrical shape, is cut in 8 equal sectorial pieces along the radii.
Find the volume of each piece if the diameter of the original pie is of 10 inches and its height is of 2 inches.
- A swimming pool has a cylindrical shape. Find the volume of the pool if its diameter is of 40 ft and the depth is of 8 ft.
- An oil storage tank has a cylindrical shape. Find the volume of the storage tank if its diameter is of 60 m and the height is of 20 m.
My lessons on volume of cylinders and other 3D solid bodies in this site are
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