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Volume of a Cylinder

Updated on October 4, 2010

Finding the Volume of a Cylinder

In this hub I intend to show you how to find the Volume of a Cylinder

Now if we look at some examples;

We are asked to find the Volume of this Cylinder.

As with all prisms the Volume will equal Area multiplied by the Depth which can also be referred to as the Height

 

V = AD

 

A = TTr2     (as we are dealing with circles in this question)

 

V = TTr2 x D

 

 

Example 1

 

The Radius is 6 and the Depth is 8 so we write;

 

V = TTr2 x D

 

V = TT x 62 x 8 ( enter this equation into your calculator)

 

= 904.778.... cm3 (round this to 1 d.p.)

 

= 904.8cm3 (Answer)

Remember as its Volume we are dealing with the answer is always going to be cubed3

 

 

Example 2

We have been asked to find the Volume of this piece of tubing.

 

The answer is to be given in cubic metres correct to 2 d.p.(decimal places)

 

Again the formula is;

 

V = AD

 

A = TTr2 (as we are dealing with circles)

 

V = TTr2 x D

 

To enable us to write the answer in cubic metres we first must change the 80cm to m

 

To do this we divide by 100, and a quick way to do this is to move your decimal place 2 places to the left hand side;

 

Therefore the 80 cm becomes 0.8m

 

The 0.8m represents the Diameter, and as we need the Radius for this equation we will half that 0.8;

 

This equals 0.4m which will be written into the equation to represent "r"

 

V = TTr2 x D

 

V = TT x 0.42 x 10.6 (enter this into the calculator)

 

= 5.328141...m3

 

= 5.33m3 (2d.p.)

 

 

 

Example 3

We are asked to find the Volume of this Cylinder.

 

The answer is to be given in cubic metres correct to 1 d.p.(decimal place)

Again the formula is;

 

V = AD

 

A = TTr2 (as we are dealing with circles)

 

V = TTr2 x D

 

The Diameter is 14m and for the formula we need the Radius which is half the Diameter so we divide the 14m by 2 which equals 7m

 

The 7m will represent the "r" in the equation

 

V = TTr2 x D

 

V = TT x 72 x 32

 

= 4926.017...m3

 

= 4926.0m3 (1d.p.)

 

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