Mathematics Class IX

Number Systems
8 Topics | 8 Quizzes
Introduction
Irrational Numbers
Real Numbers and their Decimal Expressions
Representating Real Numbers on the Number Line
Operations on Real Numbers
Identities Related to Square Roots
Rationalizing the Denominator
Laws of Exponents for Real Numbers
Concept Checkers 1-Number Systems-Class IX
Concept Checkers 2-Number Systems-Class IX
Practice Questions 1-Number Systems-Class IX
Practice Questions 2-Number Systems-Class IX
Practice Questions 3-Number Systems-Class IX
Practice Questions 4 – Number Systems – Class IX
Olympiad Questions 1-Number Systems-Class IX
Olympiad Questions 2-Number systems-Class IX
Polynomials
6 Topics | 8 Quizzes
Introduction
Polynomials in One Variable
Zeros of a Polynomial
Remainder Theorem
Factorization of Polynomials
Algebraic Identities
Practice Questions 5 – Polynomials – Class IX
Concept Checkers – Polynomials – Class IX
Practice Questions 1 – Polynomials – Class IX
Practice Questions 2 – Polynomials – Class IX
Practice Questions 3 – Polynomials – Class IX
Practice Questions 4 – Polynomials – Class IX
Olympiad Questions – Polynomials – Class IX
Olympiad Questions 2 – Polynomials – Class IX
Coordinate Geometry
3 Topics | 4 Quizzes
Introduction
Quadrants of the Cartesian Plane
Coordinates of a Point
Concept Checkers – Coordinate Geometry – Class IX
Practice Questions – Coordinate geometry – Class IX
Olympiad Questions – Coordinate Geometry – Class IX
Olympiad Questions 2 – Coordinate Geometry – Class IX
Linear Equations in Two Variables
5 Topics | 7 Quizzes
Linear Equations
Solutions of a Linear Equation
Graph of a Linear Equation in Two Variables
Equations of Lines Parallel to x-axis and y-axis
Summary
Practice Questions 3 – Linear equation in two variables – Class IX
Practice Questions 4 – Linear equation in two variables – Class IX
Concept Checkers – Linear Equations in two variables – Class IX
Practice Questions 1 – Linear Equations in two variables – Class IX
Practice Questions 2 – Linear Equations in two variables – Class IX
Olympiad Questions – Linear Equations in two varaibles – Class IX
Olympiad Questions 2 – Linear Equation in two variables – Class IX
Introduction to Euclid’s Geometry
3 Topics | 4 Quizzes
Introduction
Euclid’s Definitions, Axioms and Postulates
Equivalent Versions of Euclid’s Fifth Postulate
Concept Checkers – Introduction to Euclid’s Geometry – Class IX
Practice Questions – Introduction to Euclid’s geometry – Class IX
Olympiad Questions – Introduction to Euclid’s Geometry – Class IX
Olympiad Questions 2 – Introduction to Euclid’s geometry – Class IX
Lines and Angles
7 Topics | 6 Quizzes
Basic Terms and Definitions
Intersecting Lines and Non-Intersecting Lines
Pair of Angles
Parallel Lines and a Transversal
Lines Parallel to the same Line
Angle Sum Property of a Triangle
Summary
Concept Checkers – Lines and Angles – Class IX
Practice Questions 1 – Lines and Angles – Class IX
Practice Questions 2 – Lines and Angles – Class IX
Practice Questions 3 – Lines and angles – Class IX
Olympiad Questions – Lines and Angles – Class IX
Olympiad Questions 2 – Lines and angles – Class IX
Triangles
5 Topics | 4 Quizzes
Introduction
Congruence of Triangles
Criteria for Congruence of Triangles
Some Properties of a Triangle
Inequalities in a Triangle
Concept Checkers – Triangles – Class IX
Practice Questions – Triangles – Class IX
Olympiad Questions – Triangle – Class IX
Olympiad Questions 2-Triangles-Class IX
Quadrilaterals
5 Topics | 5 Quizzes
Introduction
Angle Sum Property of a Quadrilateral
Types of Quadrilateral
Properties of a Parallelogram
The Mid-Point Theorem
Concept Checkers – Quadrilaterals – Class IX
Concept Checkers2-Quadrilaterals-ClassIX
Practice Questions-Quadrilaterals-ClassIX
Olympiad Questions – Quadrilaterals – Class IX
Olympiad Questions 2-Quadrilaterals-Class IX
Areas of Parallelogram and Triangles
5 Topics | 4 Quizzes
Introduction
Figure on the same Base and Between the same Parallels
Parallelograms on the same Base and Between the same Parallels
Triangles on the same Base and Between the same Parallels
Summary
Concept Checkers-Areas of Parallelograms and Triangles-ClassIX
Practice Questions- Areas of Parallelograms and Triangles-Class IX
Olympiad Questions – Areas of Parallelograms and Triangles – Class IX
Olympiad Questions 2-Areas of Parallelogram and Triangles-Class IX
Circles
5 Topics | 4 Quizzes
Introduction
Terms related to circle
Angles Subtended by a Chord at a Point
Angle Subtended by an Arc of a Circle
Cyclic Quadrilaterals
Concept Checkers 2-Circles-Class IX
Olympiad Questions 2-Circles-Class IX
Practice Questions-Circle-Class IX
Olympiad Questions-Circles-Class IX
Constructions
4 Topics | 3 Quizzes
Introduction
Basic Constructions
Some Constructions of Triangles
Summary
Practice Questions-Constructions-Class IX
Essay Type Questions-Constructions-Class IX
Concept Checkers-Construction-Class IX
Heron’s Formula
4 Topics | 4 Quizzes
Introduction
Area of a Triangle – by Heron’s Formula
Application of Heron’s Formula in Finding Areas of Quadrilaterals
Summary
Concept Checkers 2- Heron’s Formula-Class IX
Olympiad Questions 2-Herons Formula-Class IX
Concept Checkers-Heron’s formula-Class IX
Olympiad Questions-Heron’s formula-Class IX
Surface Areas and Volumes
5 Topics | 2 Quizzes
Introduction
Surface Area and Volume of a Cube
Surface Area and Volume of a Right Circular Cylinder
Surface Area and Volume of a Right Circular Cone
Surface Area and Volume of a Sphere
Practice Questions-Surface Areas and Volume-Class IX
Olympiad Questions – Surface Areas and Volume – Class IX
Statistics
5 Topics | 2 Quizzes
Introduction
Collection of Data
Geographical Representation of Data
Measures of Central Tendency
Summary
Practice Questions-Statistics-Class IX
Olympiad Questions-Statistics-Class IX
Probability
3 Topics | 4 Quizzes
Introduction
Probability – An Experimental Approach
Summary
Concept Checkers 2-Probability-Class IX
Olympiad Questions 2-Probability-Class IX
Olympiad Questions-Probability-Class IX
Practice Questions-Probability-Class IX
Mock Test 1-Class IX
Mock Test 2-Class IX
Mock Test 3-Class IX
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Surface Area and Volume of a Right Circular Cone

Mathematics Class IX Surface Areas and Volumes Surface Area and Volume of a Right Circular Cone

If we revolve a right-angled triangle about one of its sides by taking other as its axis then the solid shape formed is known as a Right Circular Cone.

Curved surface area of a Right Circular Cone\mathrm{\pi rl=\pi r\sqrt{h^2+r^2}}
Total surface area of a Right Circular Cone\mathrm{\pi r^2+\pi rl=\pi r(r+l)}
The volume of Right Circular Cone\mathrm{\left(\dfrac{1}{3}\right)\pi r^2h}
 r = radius, h = height, l = slant height

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