# Volume of a Cylinder

## 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 = TTr ^{2 }(as we are dealing with circles in this question)**

**V = TTr ^{2 }x D**

**Example 1**

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

**V = TTr ^{2 }x D**

**V = TT x 6 ^{2} x 8 ( enter this equation into your calculator)**

**= 904.778.... cm ^{3} (round this to 1 d.p.)**

**= 904.8cm ^{3} (Answer)**

**Remember as its Volume we are dealing with the answer is always going to be cubed ^{3}**

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## 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 = TTr ^{2} (as we are dealing with circles)**

**V = TTr ^{2} 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 = TTr ^{2} x D**

**V = TT x 0.4 ^{2} x 10.6 (enter this into the calculator)**

**= 5.328141...m ^{3}**

**= 5.33m ^{3} (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 = TTr ^{2} (as we are dealing with circles)**

**V = TTr ^{2} 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 = TTr ^{2} x D**

**V = TT x 7 ^{2} x 32**

**= 4926.017...m ^{3}**

**= 4926.0m ^{3 }(1d.p.)**

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