**Surface Area of Cylinder**

In mathematics there are lots of formulas and equation based on various figures. One of them is Cylinder and here we are going to discuss about **Surface Area Of Cylinder**. The Formula of Surface Area Of Cylinder also distinguished between Total, Curved, Lateral Surface Area.

All of the Total, Curved, Lateral Surface Area Of Cylinder have their own formulas. These formulas are not only important in Standard examination but also play an important role in competitive examinations.

Considering the facts here we the team members of recruitmentresult.com have created this page and have given the Surface Area of Cylinder in detail along with the Formula of Total, Curved, Lateral Surface Area Of Cylinder

**Surface Area of Cylinder**

__Terms of a Cylinder __

- Radius – The radius is the distance from the center to the edge of the circles at each end.
- Pi – Pi is a special number used with circles. We will use an abbreviated version where Pi = 3.14 or (22/7). We also use the symbol π to refer to the number pi in formulas.
- Height – The height or length of the cylinder.

Let’s start with the Area Of Cylinder Surface:

**Total Surface Area Of A Cylinder**

The Total Surface Area Of A Cylinder is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces.

__Total Surface Area Of Cylinder__:

A=2πrh+2πr^{2}

**For Example:**

Find the total surface area of a cylinder with a base radius of 5 inches and a height of 7 inches.

**Solution**

A we have studies above that the Formula For Surface Area Of Cylinder is 2πrh+2πr2, now we need to insert values in place of R,H, π

Now,

r = 5

h=7

Π= 22/7

The Total Surface Area Of Cylinder Formula is:

=2π(5)(7)+2π(5)^{2}

=120π inches^{2}

Total Surface Area Of Cylinder ≈376.99 inches^{2
}

Calculate Area With Examples: __Area of Hexagon Formula__

**Curved Surface Area Of Cylinder**

The lateral surface area of a solid is the surface area of the solid without the bases.

The Curved Surface Area Of Cylinder with Radius r and Height h is given by** 2πrh**

**Example:**

Find the area of the curved surface of a cylindrical tin with radius 8 cm and height 10 cm.

**Solution:**

Curved Surface Area Of Cylinder Formula (CSA)= 2πrh

= 2*π*8*10

= 2*(22/7)*8*10

Curved Surface Area Of A Cylinder= 502.65

**Lateral Surface Area Of Cylinder**

The formula for the **lateral surface area **of a cylinder is L.S.A. =**2πrh **

**Example:**

Find the lateral surface area of a cylinder with a base radius of 3 inches and a height of 9 inches.

**Solution:**

According to the Lateral Surface Area Of Cylinder Formula:

L.S.A. =2πrh

L.S.A. = 2π(3)(9)=54π inches^{2}

Lateral Surface Area Of A Cylinder ≈169.64 inches^{2 }

Get Maths Vedic/Basic Formulas Free List: __Maths Formulas__

**Volume And Surface Area Of Cylinder**

In the above section we have studied about the Surface Area of a Cylinder Formula, now let’s take a look over the Volume Of Cylinder, the

Volume of Cylinder Formula is = πr^{2}h

__Example__:

Find the volume of a cylinder with radius 3 cm and height 5 cm?

Volume = πr^{2}h

= 3.14 x 3 x 3 x 5

= 141.3 cm^{3}

**Surface Area Of Hollow Cylinder**

**Defining Terms:**

- Let ‘r
_{1}‘ be the**outer radius**of the given cylinder and ‘r_{2}‘ be its**inner radius**and ‘h‘ be its**height**. - ‘C1‘ be the outer circumference and ‘C
_{2}‘ be the inner circumference. **L1**and**L2**be the outer and inner surface areas respectively.**h**be the height (or length) of a cylinder**t**be the thickness of the cylinder (r_{1}−r_{1})

Also Get Here: __Volume And Surface Area Questions And Answers__

**Area of Hollow Cylinder Formula**

The Circumference of a circle (C) is given by:

c = C=2πr, therefore,

C_{1}=2πr_{1}

C_{2}=2πr_{2}

The **Lateral Surface Area (L)**, for a cylinder is:

L=C×h=2πrh, therefore,

L_{1}=2πr_{1}h, the external curved surface area

L_{2}=2πr_{2}h, the internal curved surface area

**Total Lateral Surface Area** of a hollow cylinder = L=2πr_{1}h+2πr_{2}h

**Cross Sectional Area**

Let A be the area of a cross-section of a hollow cylinder,

A = πr^{2}, for a circle, therefore,

A1 = πr_{1}^{2} for the area enclosed by r_{1}

A2 = πr_{2 }^{2} for the area enclosed by r_{2}

A = A1 – A2 for the cross sectional area of hollow cylinder

A = πr_{1}^{2}−πr_{2}^{2}=π(r_{1}^{2}−r_{2}^{2})

**Total Surface Area of a Hollow Cylinder:**

=2πh(R+r)+2π(R^{2}−r^{2})

=2πh(R+r)+2π(R+r)(R−r)

=2π(R+r)(h+R−r)

**Surface Area Of Right Circular Cylinder**

r: The radius of a circular base of the cylinder

h: The height of the cylinder

S: The surface area of the cylinder

S =2πrh+2πr^{2}

The total Surface area of Cylinder is equal to Surface Area Of Right Circular Cylinder

Get Here Easy Methods: __Ways to Improve Math Skills__

__Final Note__:

We hope with the help of information given here about Cylinder and its Formulas it will become easier for you all to understand the concepts and solving the problem based questions on Cylinders.

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