Smart Math Formula, A cylinder is a solid bounded by a cylindrical surface and two parallel planes.

Note :

Volume of Cylinder = πr²h

Curved Surface Area of Cylinder = 2πrh

Total Surface Area of Cylinder = 2πr [ h + r ]

Note :

**r = radius, h = height**### Example

Question : Find the volume, curved surface and total surface area of a cylinder with the given radius 3 and height 4.Answer : Find the volume.

Volume = πr²h = 3.14 . 3² . 4 = 3.14 . 9 . 4 = 113.04 .

Answer : Find the curved surface area.

= 2πrh = 2 x 3.14 x 3 x 4 = 75.36.

Answer : Find the total surface area.

= 2πr [h + r] = 2 . 3.14 . 3[4 + 3] = 6.28 x 3[7] = 6.28 x 21 = 131.88.

That is example will clearly illustrates how to calculate the Volume, Curved Surface and Total Surface Area of a Cylinder manually, this Smart Math Formula Cylinder.