NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 has questions related to circular cone. we need to find any unknown value by using suitable formula. Exercise 13.7 has total  nine questions to study. NCERT solutions class 9 maths chapter 13 Ex. 13.7 given below.

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7

Class 9, Maths, Chapter 13, Exercise 13.7 Solutions (Page no. 233)

Q.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

Ans:

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 Q.1

Q.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

Ans:

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 Q.2

Q.3. The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of the base. (Use pi = 3.14)

Ans:

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 Q.3

Q.4. If the volume of a right circular cone of height 9 cm is 48 p cm3, find the diameter of its base.

Ans:

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 Q.4

Q.5. A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?

Ans:

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 Q.5

Q.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

Ans:

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 Q.6

Q.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.

Ans:

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 Q.7

Q.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.

Ans:

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 Q.8

Q.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.

Ans:

NCERT Solution For Class 9, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.7 Q.9

NCERT Solutions For Class 9, Maths, Chapter 13, Surface Areas And Volumes  (All Exercises)