## NCERT Solutions for Class 9 Maths Chapter 13 – Surface Areas and Volumes

For every student, math is the most difficult subject and CBSE recommends NCERT books which are not sufficient. But these books are necessary for studies. Also, the students need to solve all the question and answer given in the exercise to completely learn the topic. Toppr provides the best NCERT Solutions for Class 9 Maths Chapter 13.

Our NCERT Solutions for Class 9 Maths Chapter 13 is outlined for the students according to the latest CBSE board exam guideline and course of study. These solutions will help you to score good marks in your boards. You can find all the NCERT solution for class 9 maths chapter 13 in a single place.

Toppr provides free study materials, 1000+ hours of video lectures, previous 10 years of question papers. Download Toppr app for Android and iOS or signup for free.

Download NCERT Solutions for Class 9 Maths All chapters here

Download NCERT Solutions for all subjects here

Download NCERT Solutions for Class 9 here

### CBSE Class 9 Maths Chapter 13 – Surface Areas and Volumes NCERT Solutions

Surface areas refer to a material that covers a geometric solid. On the other hand, volume refers to the measure of how much a figure can hold and it is measured in cubic units.

**Sub-topics covered under NCERT Solutions for Class 9 Maths Chapter 13 **

#### 13.1 Introduction

This topic describes what is plane figure and what is a solid figure.

**Plain Figures-**Refers to those figures that are 2D and consist of length and breadth.**Solid Figures-**Refers to those figures that are 3D and consist of length, breadth, and height.

#### 13.2 Surface Ares of a Cuboid and a Cube

A cube is a 3D square and a cuboid is a 3D rectangle. This topic with the help of an example explains how to find the area of a cuboid.

Surface Area of a Cuboid = 2 (lb + bh + hl)

Surface area of a Cube = 6a^{2}

#### 13.3 Surface Area of a Right Circular Cylinder

A Cylinder can be understood as a circular prism. This topic also explains how to find the surface area of a right circular cylinder with the help of an example

Curved surface area of a Cylinder = 2πrh

Total surface area of a Cylinder = 2πr(r+h)

#### 13.4 Surface Area of a Right Circular Cone

A cone can be called a cylinder with a pointy edge on one side. This topic also with the help of an example explains how to find the Area of Right Circular Cone.

Curved Surface Area of a Cone = \(\frac{1}{2}\) × l ×2πr = πrl

Total Surface Area of a Cone = πrl + πr^{2} = πr (l + r)

#### 13.5 Surface Area of a Sphere

A Sphere is a complete round circle and hemisphere is the half of sphere. In this topic also the way of finding Area of a Sphere is discussed with the help of an example.

Surface Area of a Sphere = 4 π r^{2}

Curved Surface Ares of a Hemisphere= 2πr^{2}

Total Surface Area of a Hemisphere = 3πr^{2}

#### 13.6 Volume of a Cuboid

This topic tells how to find volume of a cuboid and cube

Volume of a Cuboid = base area × height = length × breadth × height

Volume of a cube = edge × edge × edge = a^{3}

#### 13.7 Volume of a Cylinder

This topic tells how to find the volume of a cylinder.

Volume of a Cylinder = πr^{2}h

#### 13.8 Volume of a Right Circular Cone

This topic tells the formula of finding the volume of a right circular cone

Volume of a Right Circular Cone =\(\frac{1}{3}\) πr^{2}h

#### 13.9 Volume of a Sphere

This topic tells how to find the volume of a sphere and hemisphere.

Volume of a Sphere =\(\frac{4}{3}\) πr^{3}

Volume of a Hemisphere = \(\frac{2}{3}\) πr^{3}

#### 13.10 Summary

This topic contains all the areas and volume that we have discussed in this chapter.

**You can download NCERT Solutions for Class 9 Maths Chapter 13 PDF by clicking on the button below**

### Download Toppr – Best Learning App for Class 5 to 12

Toppr’s NCERT Solutions are easily downloadable from any device. Download Toppr as it provides you a 360^{o }platform for learning. Additionally, Toppr provides features like adaptive learning, Chapter-wise mock test, online classes, doubt clearance, and several other benefits. Download Toppr app for Android and iOS or signup for free.

## Leave a Reply