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:
Find the total surface area of a cylinder with a base radius of 5 inches and a height of 7 inches.
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
r = 5
The Total Surface Area Of Cylinder Formula is:
Total Surface Area Of Cylinder ≈376.99 inches2
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
Find the area of the curved surface of a cylindrical tin with radius 8 cm and height 10 cm.
Curved Surface Area Of Cylinder Formula (CSA)= 2πrh
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
Find the lateral surface area of a cylinder with a base radius of 3 inches and a height of 9 inches.
According to the Lateral Surface Area Of Cylinder Formula:
L.S.A. = 2π(3)(9)=54π inches2
Lateral Surface Area Of A Cylinder ≈169.64 inches2
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 = πr2h
Find the volume of a cylinder with radius 3 cm and height 5 cm?
Volume = πr2h
= 3.14 x 3 x 3 x 5
= 141.3 cm3
Surface Area Of Hollow Cylinder
- Let ‘r1‘ be the outer radius of the given cylinder and ‘r2‘ be its inner radius and ‘h‘ be its height.
- ‘C1‘ be the outer circumference and ‘C2‘ be the inner circumference.
- L1and L2 be the outer and inner surface areas respectively.
- hbe the height (or length) of a cylinder
- tbe the thickness of the cylinder (r1−r1)
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,
The Lateral Surface Area (L), for a cylinder is:
L1=2πr1h, the external curved surface area
L2=2πr2h, the internal curved surface area
Total Lateral Surface Area of a hollow cylinder = L=2πr1h+2πr2h
Cross Sectional Area
Let A be the area of a cross-section of a hollow cylinder,
A = πr2, for a circle, therefore,
A1 = πr12 for the area enclosed by r1
A2 = πr2 2 for the area enclosed by r2
A = A1 – A2 for the cross sectional area of hollow cylinder
A = πr12−πr22=π(r12−r22)
Total Surface Area of a Hollow Cylinder:
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
The total Surface area of Cylinder is equal to Surface Area Of Right Circular Cylinder
Get Here Easy Methods: Ways to Improve Math Skills
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.
If you are satisfied with the information given here on this page and want to keep it safe for further usage then you may bookmark it by using CTRL+d tab. Else if you have any query regarding the details mentioned then you may state your comments in below given comment box.
Something That You Should Put An Eye On