Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 9 Mathematics 13. Surface Areas and Volumes to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 9 Mathematics 13. Surface Areas and Volumes to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 13.7. Whether you are studying for board exams or mid-term exams, 9 Mathematics Chapter 13. Surface Areas and Volumes solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
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EXERCISE 13.7
Assume π = 22/7, unless stated otherwise.
1. Find the volume of the right circular cone with
(i) radius 6 cm, height 7 cm (ii) radius 3.5 cm, height 12 cm
Solution:
2. Find the capacity in litres of a conical vessel with
(i) radius 7 cm, slant height 25 cm (ii) height 12 cm, slant height 13 cm
Solution:
(i) h2 = 252 - 72
3. The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of the base.(Use π = 3.14)
Solution:
Height = 15 cm, volume = 1570 cm3
4. If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.
Solution:
Height = 9 cm, volume = 48π cm3
5. A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?
Solution:
Diameter = 3.5 cm , height = 12 cm , radius = 1.75
6. The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find
(i) height of the cone (ii) slant height of the cone
(iii) curved surface area of the cone
Solution:
Volume = 9856 cm3 , diameter = 28 cm , radius = 14cm
7. A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.
Solution:
Height = 12 cm , radius = 5 cm
8. If the triangle ABC in the Question 7 above is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in Questions 7 and 8.
Solution:
Height = 5 m , radius = 12 m
9. A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.
Solution:
Diameter = 10.5 m, height = 3 m , radius = 5.25
Exercise 13.7 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 9 Mathematics Chapter 13. Surface Areas and Volumes solutions help you understand the core concepts and practice effectively.
Revision is the key to exam success. Our notes for 9 Mathematics highlight important formulas, key definitions, and exam-ready points from Chapter 13. Surface Areas and Volumes. These quick revision notes make last-minute preparation easy.
Every NCERT chapter ends with exercises, and solving them is crucial. Our Exercise 13.7 include complete solutions for 9 Mathematics Chapter 13. Surface Areas and Volumes exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
To boost your preparation, we also provide additional important questions with answers. These are prepared from previous year board papers, sample papers, and important concepts of Chapter 13. Surface Areas and Volumes. Practicing these ensures you are well-prepared for both board and mid-term exams.
Our Exercise 13.7 are useful for both board exams and mid-term exams. For 9 Mathematics, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Exercise 13.7 for 9 Mathematics Chapter 13. Surface Areas and Volumes are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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