formula for cylinder

Mensuration of Class 8

A cylinder is a three dimension figure .its two bases are circles and the sides of a cylinder are curve.

Solids like measuring jars, circular pillars, circular pencils, circular pipes, road rollers, gas cylinders etc., are said to have cylindrical shape.

For a cylinder of base radius = r and height (or length) = h, we have

Volume = (πr2h) cubic units
Curved surface area = 2πrhsq units
Total surface area = (2πrh + 2πr2) sq units

= 2πr(h + r) sq units

HOLLOW CYLINDERS

Solids like iron pipes, rubber tubes are in the shape of hollow cylinders.

Consider a hollow cylinder having

External radius = R, internal radius = r and height = h.

Then, we have

Volume of material = (external volume) – (internal volume)

cubic units

cubic units

Curved surface area of hollow cylinder

= (external surface area) – (internal surface area)

Total surface area of hollow cylinder

=(curved surface area) + (area of the base ring)

sq units

SOLVED EXAMPLES

question Find the volume of cylinder if the radius of a cyinder is 5m and its height is 10m.

Sol. Here, h = 10 m and r = 5 m.

So, volume of cylinder is = πr2h

=

= 785.71 m3

question A closed cylindrical tank of radius 8 m and height 15 m is made from a sheet of metal. How much sheet of metal is required?

Sol.Total surface area of cylinder = 2πr (r + h)

= 1156.57 m2

Thus, 1156.57 m2 sheet of metal is required.

CBSE NCERT Solutions for Class 8 Maths

class 8 maths NCERT solutions Chapter 1: Rational Numbers

class 8 maths NCERT solutions Chapter 2: Linear Equations in One Variable

class 8 maths NCERT solutions Chapter 3: Understanding Quadrilaterals

class 8 maths NCERT solutions Chapter 4: Practical Geometry

class 8 maths NCERT solutions Chapter 5: Data Handling

class 8 maths NCERT solutions Chapter 6: Square and Square Roots

class 8 maths NCERT solutions Chapter 7: Cube and Cube Roots

class 8 maths NCERT solutions Chapter 8: Comparing Quantities

NCERT Class 8 Maths solution Chapter 9: Algebraic Expressions and Identities

class 8 maths NCERT solutions Chapter 10: Visualizing Solid Shapes

class 8 maths NCERT solutions Chapter 11: Mensuration

class 8 maths NCERT solutions Chapter 12: Exponents and Powers

class 8 maths NCERT solutions Chapter 13: Direct and Inverse Proportions

class 8 maths NCERT solutions Chapter 14: Factorization

class 8 maths NCERT solutions Chapter 15: Introduction to Graphs

class 8 maths NCERT solutions Chapter 16: Playing with Numbers

Notes,worksheet and solved question for Maths class 8

Check your marks in a chapter which you have complited in school from Physics Wallah chapter wise online test just click on the link given below

chapter wise online test for class 8 maths

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