NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.3 are prepared by askIITians subject matter experts to help students master the exercise. Surface Areas and Volumes is a lengthy chapter in the Class 9 NCERT Maths textbook. It includes 9 unsolved exercises and 19 solved examples. Our NCERT Solutions help you understand each exercise thoroughly so that you can achieve full marks in this chapter. The solutions are available for free and can be downloaded as a PDF file for reference at any time and from anywhere. If you have any more questions you can check our free online revision notes for Class 9 Maths Chapter 13 Surface Areas and Volumes.
The third exercise of Grade 9 NCERT Maths book Chapter 13 is about finding the curved surface area and total surface area of a right circular cone. A right circular cone is a type of pyramid solid that is obtained by rotating a triangle about an axis. Here’s the formula for obtaining the surface area of a cone:
where r is the radius and l is the slant height of the cone.
If you want to solve Ex 13.3 just learn these two formulae and how to differentiate between them. Our NCERT Solutions provide you with instant help on how to solve the exercise questions whenever you face any problem.
Here are a few tips from our experts on how to solve NCERT Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.3:
Exercise 13.3 of NCERT Class 9 Maths Chapter 13 Surface Areas and Volumes is about finding the surface area of a right circular cone or cone. Let us breakdown the exercise questions for you:
Ex 13.3 Q1: This is a straightforward question where you have to find the curved surface area of a cone when its diameter and slant height are given to you. Do you know which formula you need to apply here? Find out in our free NCERT Maths Solutions.
Ex 13.3 Q2: In this question, you have to find the total surface area of a cone when its diameter and slant height are given to you. Make sure you do not make a mistake while calculating the area.
Ex 13.3 Q3: In this question, you are given the surface area of a cone and its slant height. You have to find the radius of its base and its total surface area. The question is twisted the other way round. Don’t worry if you did not get the right answer on the first attempt. Check our answers for this chapter.
Ex 13.3 Q4: In this question, you are given the height and the radius of the base of a conical tent. You have to find its slant height and the cost of the canvas required to make the tent. You can see the complexity of the questions is increasing slightly now.
Ex 13.3 Q5: In this question, you have to find the length of tarpaulin required to make a conical tent of a given height and base radius. Check how to solve this question correctly in our NCERT solutions for Maths Chapter 13 for Grade 9.
Ex 13.3 Q6: You are given the slant height and diameter of a conical tomb. You have to find the cost of painting it. Do not forget to mention the answer in Rupees rather than the metre or centimetre square.
Ex 13.3 Q7: You are given the height and radius of one cap and you have to find how much paper is needed to create 10 such caps. Can you find that? We are sure you can with our NCERT Class 9 Maths Solutions.
Ex 13.3 Q8: The last question asks you to find the cost of painting 50 hollow cones. You are given the diameter and height of each cone. The question is a little lengthier and involves more than just applying the formula.
Exercise 13.3 includes 8 questions about finding the surface area of a right circular cone. All these questions are super easy to solve if you have our NCERT solutions in hand.
Yes, surface areas and volumes are important concepts of measurement that you must study thoroughly in Class 9. You will study more concepts like this in higher classes so make sure you have a solid foundation.
Class 9 Maths NCERT Solutions act as a self-explanatory guide for the students that they can refer to at any time. These solutions help in solidifying the concepts taught in the Class 9 Maths and hence help students prepare well for their exams.