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  • Last Modified 27-01-2023

NCERT Solutions for Surface Areas and Volumes Exercise 13.8 Class 9 Maths


Exercise 13.8 Class 9 Maths: NCERT Solutions for Class 9 Maths Chapter 13 deals with Surface Area and Volume Exercise. The NCERT Solutions are solved by Embibes experienced subject-matter experts keeping in mind the understanding and grasping capabilities of the students. All the solutions for 9th Maths subjects are as per the NCERT syllabus and updated CBSE guidelines.

Each question is solved in a simpler manner to help the students prepare for the final exams and help them score good marks. Continue reading the article to access the class 9 maths exercise 13.8 solutions in PDF format for free and other important information related to the chapters.

Class 9 Maths Exercise 13.8 Solutions: Overview

The following table provides an overview of Chapter 13 of Maths Class 9 Exercise 13.8:

ClassClass 9
Name of the ChapterSurface Areas and Volumes
Exercise NumberExercise 13.8
Number of Questions in the Exercise10 Questions
Number of ExercisesExercise 13.1
Exercise 13.2
Exercise 13.3
Exercise 13.4
Exercise 13.5
Exercise 13.6
Exercise 13.7
Exercise 13.8
Exercise 13.9
SolutionTypeQuestions and Answers
Official Websitehttps://ncert.nic.in/ 

Class 9 Maths Exercise 13.8 Solutions: FREE PDF

In this article, all NCERT Solutions for Class 9 Maths Chapter 13 are solved by Embibes subject-matter experts as per the latest CBSE guidelines.NCERT Class 9Maths Solutions are considered as the best resources while preparing for the final examination helping students clear their doubts and confusion.  

Students can access the exercise 13.8 class 9 step-by-step ncert solutions to help them solve the questions easily in the final examination. We have also provided the solutions link in PDF format. Students can download the solutions for FREE. Find the step-wise question and answer solutions below:

Exercise 13.8 Class 9 NCERT Solutions: Important Formulas

The following is the list of important formulas covered in the chapter:

  • Volume of a Sphere = (4/3)πr3
  • Volume of a Hemisphere = (2/3) πr3

Maths Class 9 Exercise 13.8: Important Questions

The following is the list of important questions in Maths Class 9 Chapter 13:

  1. The total surface area of a cube is 726 cm2. Find the length of its edge.
  2. How much ice cream can be put into a cone with a base radius of 3.5 cm and a height of 12 cm?
  3. Two cubes of edge 6 cm are joined to form a cuboid. Find the total surface area of the cuboid.
  4. If a wooden box of dimensions 8 m x 7 m x 6 m is to carry boxes of dimensions 8 cm x 7 cm x 6 cm, then find the maximum number of boxes that can be carried in the wooden box.
  5. If in a cylinder, the radius is doubled and height is halved, then find its curved surface area.
  6. Calculate the edge of the cube if its volume is 1331 cm3
  7. Find the area of the sheet required to make a closed cylindrical vessel of height 1 m and diameter 140 cm.
  8. The radii of two cylinders of the same height are in the ratio 4:5, then find the ratio of their volumes.
  9. A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. Find the radius of the sphere.
  10. Find the volume of a cone of radius r/2 and height ‘2h’.
  11. How many balls, each radius 2 cm can be made from a solid sphere of lead of radius 8 cm?
  12.  The radius of a spherical balloon increases from 6 cm to 12 cm as air is being pumped into it. Then what will be the ratio of surface areas of the original balloon to the resulting new balloon?
  13. If the volume of a sphere is numerically equal to its surface area, then find the diameter of the sphere.
  14. In a cylinder, if the radius is halved and height is doubled, then find the volume with respect to the original volume.
  15. The outer and the inner radii of a hollow sphere are 12 cm and 10 cm. Find its volume.
  16. Find the length of the longest pole that can be put in a room of dimensions 10 m x 10 m x 5 m.
  17. A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.
  18. Find the capacity in litres of a conical vessel having height 8 cm and slant height 10 cm.
  19. A school provides milk to the students daily in cylindrical glasses of a diameter of 7 cm. If the glass is filled with milk up to a height of 12 cm, find how many litres of milk are needed to serve 1600 students.
  20. Calculate the surface area of a hemispherical dome of a temple with a radius of 14 m to be whitewashed from the outside.
  21. A rectangular piece of paper is 22 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder.
  22. A cylindrical vessel can hold 154 g of water. If the radius of its base is 3.5 cm, and 1 cm3 of water weighs lg, find the depth of water. 
  23. A shot-put is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g/cm3. Find the mass of the shot-put. 
  24. A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find it volume. If 1cm3 wheat cost is Rs 10, then find total cost.
  25. The diameter of a roller is 42 cm and its length is 120 cm. It takes 500 complete revolutions to move once to land a playground. Find the area of the playground in m2.
  26. A wall of length 10 m is to be built across an open ground. The height of the wall is 5 m and thickness of the wall is 42 cm. If this wall is to be built with bricks of dimensions 42 cm x 12 cm x 10 cm, then how many bricks would be required ?
  27. The curved surface area of a cylinder is 176 cm2 and the area of the base is 38.5 cm2. Find the volume of the cylinder.
  28. The curved surface area of a cylinder is 154 cm2. The total surface area of the cylinder is three times its curved surface area. Find the volume of the cylinder.
  29. Rinku has built a cuboidal water tank in his house. The top of the water tank is covered with an iron lid. He wants to cover the inner surface of the tank including the base with tiles of size 10 cm by 8 cm. If the dimensions of the water tank are 180 cm x 120 cm x 60 cm and the cost of tiles is f 480 per dozen, then find the total amount required for tiles. 
  30. The diameter of the moon is approximately 1/4 th of the diameter of the earth. What fraction of the volume of earth is the volume of the moon? 
  31. How many metres of 5 m wide cloth will be required to make a conical tent, the radius of whose base is 3.5 m and height is 12 m?
  32. A right-angled A ABC with sides 3 cm, 4 cm and 5 cm is revolved about the fixed side of 4 cm. Find the volume of the solid generated. Also, find the total surface area of the solid. 
  33. The curved surface area of cylindrical reservoir 12 m deep is plastered from inside with concrete mixture at the rate of Rs 15 per m2. If the total payment made is of Rs 5652, then find the capacity of this reservoir in litres. 
  34. A shopkeeper has one spherical laddoo of radius 5 cm. With the same amount of material, how many laddoos of a radius 2.5 cm can be made?
  35. A semicircular sheet of metal of radius 14 cm is bent to form an open conical cup. Find the capacity of the cup.

Benefits of Solving NCERT Solutions at Embibe

The following is the list of benefits students attain while solving NCERT solutions at Embibe:

  • NCERT Maths Class 9 Solutions are created by Embibe’s subject-matter experts that provide a deep understanding of the chapter.
  • Each question is solved in a simpler and more understandable manner for students to get a good hold of the concepts clearly.
  • Exercise 13.8 Class 9 is solved in a step-by-step manner to help students understand the answers easily and solve them with ease in their final exam.
  • To assist students in their preparation, a full assessment of topics and important questions are provided, with the marks and question-weightage.
  • Students can make use of these NCERT solutions for last-minute preparation and revisions, by helping them clarify doubts and confusion.
  • Helping students prepare for their forthcoming entrance level exams, NCERT solutions will help them score well on their class 12 final exam.
  • The NCERT Class 9 Maths Solutions are provided in the form of PDFs and in-text solutions for students to access it for free and use efficiently even while studying offline.
  • Along with deep analysis and understanding of the NCERT Class 9 Exercise 13.8 Solutions PDF, students are also provided with the chapter wise mock tests to improve their preparation level for the final exam.

FAQs on NCERT Solutions for Class 9 Maths Chapter 13

The following are the most frequently asked questions on NCERT Solutions for Class 9 Maths Chapter 13:

Q.1: How many exercises are there in NCERT Solutions for Class 9 Maths Chapter 13?
There are 9 exercises in the  NCERT Solutions for Class 7 Maths Chapter 14.

Q.2: Where can I download the NCERT Solutions for Class 9 Maths Chapter 13 exercise 13.8?
Students can access the Class 9 Maths Exercise 13.8 Solutions for free at Embibe.

Q.3: Is Maths Class 9 Exercise 13.8 difficult? 
The questions in Maths Class 9 Chapter Exercise 13.8 is of moderate to difficult level, with proper practice students can easily understand the exercise. For better analysis students can access the NCERT Solutions for Class 9 Maths Exercise 13.8 at Embibe. 

Q.4: Where can I get chapter-wise class 9 Maths NCERT solutions mock test series for practice?
Students can solve the chapter-wise class 9 Maths NCERT solutions mock test series at Embibe for free.

Q.5: How do NCERT Solutions help in solving Class 9 Maths Chapter 13.8?
Class 9 Maths can be easily understood with Embibe’s NCERT Solutions. These solutions are created by Embibe’s subject matter experts to help students get a better and more detailed understanding of the chapter and help them prepare for their final exams.

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