| Arithmetic Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry Trigonometry Ratios
Data-Handling Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Videos
Solved Problems
|
Home >> Three dimensional object >> Right Circular Cylinder >> Total Surface Area of Cylinder >> Total Surface Area of Right Circular Cylinder
Before you study how to calculate Total Surface Area of Cylinder, you are advised to read:
How to find Lateral or Curved Surface of Cylinder ?
How to find Area of Circle ?
Formula for Total Surface Area of Cylinder:
Total Surface Area of Cylinder = 2 Π r (r + h)
Note: Total Surface Area of Cylinder is always in square units e.g. cm2, m2, mm2 etc
How formula for total surface area of cylinder is obtained
Observe the following diagram of cylinder:
Total Surface Area of Cylinder of above diagram of cylinder comprises of:
Lateral Surface Area (highlighted in green)
Two Circles (highlighted in blue)
Or we can write it as:
Total Surface Area of Cylinder = Area of two Circles + Lateral Surface Area of Cylinder ... (Statement 1)
Area of Circle = Π r2
Lateral Surface Area of Cylinder = 2 Π rh
Put the values of both these formulas into statement 1 and we get:
Total Surface Area of Cylinder = 2(Π r2) + 2 Π rh
Taking 2 Π & r as common and we get:
= 2 Π r (r + h)
Let's study some examples to find total surface area of cylinder
Example : Find total surface area of a cylindrical pipe, whose length is 13 cm and radius of 7 cm. (apply value of Π = 22/7)
Solution: As per the given question:
Length or height of cylinder = 13 cm
Radius of Cylinder = 7 cm
Apply formula and we get:
Total Surface Area of Cylindrical Pipe = 2 Π r (r + h)
Put value of pie, radius and height and we get:
= 2 X 22/7 X 7 (7 + 13)
= 2 X 22/7 X 7 X 20
= 2 X 22 X 20
= 880
Hence, total surface area of cylindrical pipe = 880 cm2
Study More Solved Questions / Examples
Find the total surface area of cylinder shaped battery which has the following radius
A) Radius of 27 cm and height of 20 cm ?
B) Radius of 18 cm and height of 27 cm ?
C) Radius of 26 cm and height of 10 cm ?
D) Radius of 15 cm and height of 14 cm ?
E) Radius of 28 cm and height of 16 cm ?
|
Find the total surface area of cylinder shaped jar which has the following radius
F) Radius of 18 cm and height of 27 cm ?
G) Radius of 9 cm and height of 7 cm ?
H) Radius of 5 cm and height of 9 cm ?
I) Radius of 10 cm and height of 13 cm ?
J) Radius of 16 cm and height of 6 cm ? |
| | |
|
