# NCERT Solutions for Class 9 Maths Chapter 11 Surface Areas and Volumes

## NCERT Solutions for Class 9 Maths Chapter 11 Surface Areas and Volumes

There are certain topics in class 9 NCERT curriculum that are fundamental for a student’s effective learning and development. Due to the importance of such portions we have Posted the NCERT Class 9 Chapter 11 solutions to ensure that students can learn these concepts without any trouble. Additionally there will be certain points along the chapter where students are certain to face obstacles and we hope to aid students overcome them in the most effective way possible.

Class 9 Chapter 11 Surface and Volume also introduces some essential concepts like the volumes of three-dimensional shapes like spheres, cones and hemispheres; mastering these concepts and the formulas associated with them will be highly useful for students from the point of the CBSE board exams.

## NCERT Solutions Class 9 Maths Chapter 11

They can expect several questions from these topics and to students looking to make quick work of these questions they should absolutely refer to the class 9 NCERT maths solutions chapter 11 – Surface area and volume. We have ensured that the solutions can be understood in their entirety without any stress on the student’s part.

## Formulas to keep in mind while solving Class 9 Maths Chapter 11 Surface Area and Volume

• Curved surface area of a cone  = πrl (l is the length along the curved surface of the cone)
•  Total Surface Area of a Cone =  πrl + πr2
• Volume of a Cone = ⅓ * πr2h (h being the height from the base to the apex of the cone)
• Surface Area of a Sphere = 4 π r2
• Curved Surface Area of a Hemisphere = 2πr2
• Total Surface Area of a Hemisphere = 3π2
• Volume of a Sphere = 4/3 πr3
• Volume of a Hemisphere =2/3  πr3

### What is the main aim of NCERT Solutions for Class 9 Maths Chapter 11?

By implementing Class 9 Maths NCERT solutions chapter 11 into their studies students can make sure that they have a complete understanding of the various concepts present in  Class 9 NCERT Maths Chapter 11. This is accomplished by the step-by-step explanations we have given which unambiguously show the students the answers to all exercises. Via these solutions, students will not find any difficulty in addressing problems based on this chapter. So any students wanting to strengthen their concepts and get good marks should refer to NCERT class 9 maths chapter 11 notes given above.

### How are NCERT Solutions for Class 9 Maths Chapter 11 helpful for Class 9 students?

The NCERT class 9 maths chapter 11 solutions cover all the exercises that are included in the NCERT textbook in an attempt to strengthen the students’ knowledge of mensuration before they go for the class 10 exams. Moreover, these solutions will allow for more comprehensive revision for students because they will be able to obtain all the answers they need in one place and witness the systematic way to answer all the questions of the exercises in Chapter 11. Due to this valuable utility class 9 maths NCERT solutions chapter 11 will be appreciated by all students.

### How many exercises are present in NCERT Solutions for Class 9 Maths Chapter 11?

The details of the exercises in NCERT solutions for class 9 Maths chapter 14 are as follows:
11.1: 8 questions – 2 small answers, 2 medium answers with two sub-parts each, and 4 word problems ranging from medium to long answers
11.2: 9 questions – 2 small answers with three sub-parts, 6 medium-length questions and 1 long answer with three subparts
11.3: 9 Questions –  2 small answers with two sub-parts, 4 medium-length answers, 3 long answer questions one having three sub-parts
11.4: 10 Questions – 4 small answers with two sub-parts, 6 medium-length answers

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