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13. Surface Areas and Volumes Mathematics class 9 in English Medium ncert book solutions Exercise 13.7
13. Surface Areas and Volumes Exercise 13.7 – Complete NCERT Book Solutions for Class 9 Mathematics (English Medium). Get all chapter explanations, extra questions, solved examples and additional practice questions for 13. Surface Areas and Volumes Exercise 13.7 to help you master concepts and score higher.
13. Surface Areas and Volumes Mathematics class 9 in English Medium ncert book solutions Exercise 13.7
NCERT Solutions for Class 9 Mathematics play an important role in helping students understand the concepts of the chapter 13. Surface Areas and Volumes clearly. This chapter includes the topic Exercise 13.7, which is essential from both academic and examination point of view. The solutions provided here are prepared strictly according to the latest NCERT syllabus and follow the guidelines of CBSE to ensure accuracy and relevance. Each question is explained in a simple and student-friendly manner so that learners can grasp the concepts without confusion. These NCERT Solutions are useful for regular study, homework help, and exam preparation. All textbook questions are solved step by step to improve problem-solving skills and conceptual clarity. Students of Class 9 studying Mathematics can use these solutions to revise important topics, understand difficult questions, and practise effectively before examinations. The chapter 13. Surface Areas and Volumes is explained in a structured way, making it easier for students to connect the theory with the topic Exercise 13.7. By studying these updated NCERT Solutions for Class 9 Mathematics, students can build a strong foundation, boost their confidence, and score better marks in school and board exams.
13. Surface Areas and Volumes
Exercise 13.7
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
See other sub-topics of this chapter:
1. Exercise 13.1 2. Exercise 13.2 3. Exercise 13.3 4. Exercise 13.4 5. Exercise 13.5 6. Exercise 13.6 7. Exercise 13.7 8. Exercise 13.8 9. Exercise 13.9