Meaning of cylinder,how to solve volume of cylinder,SI unit of volume, examples of solved questions on volume of cylinder,SI unit of area.

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The volume of a cylinder.

 

Volume is the amount of space occupied by matter.

The SI unit of volume metre cubic (m^3). Other sub-multiples are cm^3,mm^3 and l. Hence, 1 m^3=1×10^6 cm^3=1000000 cm^3.

Volume can be measured by measuring a cylinder, Eureka can, pipette, burette, beaker, volumetric flask etc.

A cylinder is an object with a circular base.

The 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 the radius of the cylinder.

The area of the cylinder base is denoted by a and height is denoted by h.


Examples

  1. Find the volume of a cylinder with a radius of 14 cm and a height of 10cm.

Solution

V=Ï€r^2h=Ï€×(14cm)^2×10cm=

6157.52160104cm^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 0.0061575216m^3. 





  1. Find the volume of a cylinder with a radius of 28cm and a height of 4m.

Solution

Here we have to convert 28cm to m.

28cm =0.28m.

V=Ï€r^2h

=Ï€×(0.28m)^2×4m=

0.98520345617m^3.


Exercise


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

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

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


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