# NCERT Solutions for Class 9 Maths Chapter 13 Exercise 13.5 & 13.6

Free download NCERT Solutions for Class 9 Maths Chapter 13 Exercise 13.5 & 13.6 Surface areas and volumes in English Medium and Hindi Medium free to use online. NCERT Books solutions for class 9 Maths and other subjects are free to download. The solutions of other exercises like Exercise 13.1 & 13.2 or Exercise 13.3 & 13.4 or Exercise 13.7 & 13.8 or Exercise 13.9 are also given to use online Hindi medium and English medium.

## NCERT Solutions for Class 9 Maths Chapter 13 Exercise 13.5 & 13.6

If you need solutions in Hindi, Click for Hindi Medium solutions of 10 Maths Exercise 13.5 & 13.6

Exercise 13.1 & 13.2

Exercise 13.3 & 13.4

Exercise 13.7 & 13.8

Exercise 13.9

9 Maths Solutions – Main Page

### 9 Maths Chapter 13 Exercise 13.5 & 13.6 in Hindi

Exercise 13.1 & 13.2

Exercise 13.3 & 13.4

Exercise 13.7 & 13.8

Exercise 13.9

9 Maths Solutions – Main Page

To get the solutions in English, Click for English Medium solutions.

##### Class 9 Maths Chapter 13 Surface Areas and Volumes
###### Practice Questions with Answers for Exams
1. The radius of a spherical balloon increase from 6cm to 12 cm as air is being pumped into it. Find the ratio of the surface areas of the balloon in two cases. [Answer: 1:4]
2. The largest possible right circular cone is cut out of a cube of edge r cm. What is the volume of cone? [Answer: 1/12 πr²]
3. A roller 1.5 m long has a diameter of 70 cm. How many revolutions will it make to level a play round measuring 50 x 33 m? [Answer: 1500]
4. The dimensions of a cuboid are in the ratio of 1:2:3 and its total surface area is 88 m². Find its dimensions. [Answer: 2 m, 4 m and 6 m]
5. A solid cylinder has a total surface area of 231 cm². The curved surface area is 2/3 of the total surface area. Find the volume of cylinder. [Answer: 269.5 cm²]
6. The total surface area of a cube is 150 sq. cm. Find the perimeter of any one of its faces. [Answer: 20 cm]
7. Three metal cubes whose edge measures 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. [Answer: 6 cm]
8. The length, breadth and height of room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of ₹ 7.50 per m². [Answer: ₹ 55]
9. Three spheres of radii 3 cm, 4cm and 5 cm are melted together to form a single sphere. Find the radius of new sphere. [Answer: 1440 cm²]
10. The curved surface area of a right circular cylinder is 176 cm² and its base area is 38.5 cm². Find the volume of the cylinder. [Answer: 308 cm³]
11. A cylinder and a cone have the same height and the same radius. The volume of the cylinder is 24 cm³. What will be the volume of the cone? [Answer: 8 cm³]
12. What is the volume of the largest cone that can be inscribed completely in a hollow hemisphere of radius 7 cm? [Answer: 1359.33 cm³]
13. A cuboidal vessel is 10m long and 8 m wide. How high must it be made to hold 380 m³ of a liquid? [Answer: 4.75 m]