How to find the volume of a cylinder .

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Volume of a cylinder.
 
Volume is the amount of space occupied by matter.
The SI unit of volume meter cubic (m^3). Other sub-multiples are cm^3, mm^3 and litre. Hence, 1 m^3=1×10^6 cm^3=1000000 cm^3.
Volume can be measured by a measuring cylinder, Eureka can, pipette, burette, beaker, volumetric flask etc.
A cylinder is an object with a circular base.
Volume of a cylinder= area of cylinder base ×height of cylinder .
 i.e, V=Ï€r^2h.
Area of cylinder=Ï€r^2, where r stands for radius of cylinder.
The area of the cylinder base is denoted by a and the height is denoted by “h”.

Examples
Find the volume of a cylinder with a radius of 14 cm and height of 10 cm.
Solution
V=Ï€r^2h=Ï€×(14 cm)^2×10 cm=6157.52160104 cm^3.
Then we have to convert 6157.52160104 to m^3.
I.e,
1 m^3=1×10^6 cm^3.what about 6157.52160104?
Therefore, our answer is 0.0061575216 m^3. 

Find the volume of a cylinder with radius 28 cm and height 4 m.
Solution
Here we have to convert 28 cm to m.
28 cm =0.28m.
V=Ï€r^2h=Ï€×(0.28 m)^2×4 m=0.98520345617m^3.

Exercise

Find the volume of a cylinder with diameter 14 cm and height 100 m.

Find the height of a cylinder with volume 700 m^3 and radius 14 m.

Find the height of a cylinder with radius 70 cm and volume 1400 m^3.




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