NCERT Solutions for Class 9 Maths Chapter 13 – Surface Areas and Volumes
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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 13Â
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 = 6a2
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 = 2Ï€rh
Total surface area of a Cylinder = 2Ï€r(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 + πr2 = 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 r2
Curved Surface Ares of a Hemisphere= 2Ï€r2
Total Surface Area of a Hemisphere = 3Ï€r2
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 = a3
13.7 Volume of a Cylinder
This topic tells how to find the volume of a cylinder.
Volume of a Cylinder = πr2h
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 =\(\frac{1}{3}\) πr2h
13.9 Volume of a Sphere
This topic tells how to find the volume of a sphere and hemisphere.
Volume of a Sphere =\(\frac{4}{3}\) πr3
Volume of a Hemisphere = \(\frac{2}{3}\) πr3
13.10 Summary
This topic contains all the areas and volume that we have discussed in this chapter.
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