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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.4

NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.4 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.4.

  • Surface Areas and Volumes Class 10 Ex 13.1
  • Surface Areas and Volumes Class 10 Ex 13.2
  • Surface Areas and Volumes Class 10 Ex 13.3
  • Surface Areas and Volumes Class 10 Ex 13.4
  • Surface Areas and Volumes Class 10 Ex 13.5
Board CBSE
Textbook NCERT
Class Class 10
Subject Maths
Chapter Chapter 13
Chapter Name Surface Areas and Volumes
Exercise Ex 13.4
Number of Questions Solved 5
Category NCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.4

Chapter 13 Surface Areas and Volumes Exercise 13.4

[Use π = \(\frac { 22 }{ 7 }\) unless stated otherwise.]

Ex 13.4 Class 10 Maths Question 1.
A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.
Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 35

Ex 13.4 Class 10 Maths Question 2.
The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 36

Ex 13.4 Class 10 Maths Question 3.
A fez, the cap used by the Turks, is shaped like the frustum of a cone (see figure). If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it.
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 37
Solution:

NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 38

Ex 13.4 Class 10 Maths Question 4.
A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of ₹ 20 per litre. Also find the cost of metal sheet used to make the container, if it costs ₹ 8 per 100 cm2. (Take π = 3.14)
Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 39
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 40
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 41

Ex 13.4 Class 10 Maths Question 5.
A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter \(\frac { 1 }{ 16 }\) cm, find the length of the wire.
Solution:
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 42
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 43
NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes 44

 

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