• Skip to main content
  • Skip to primary sidebar
  • Skip to footer
  • NCERT Solutions
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
    • Wordfeud Cheat
  • MCQ Questions

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6

NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.

  • Surface Areas and Volumes Class 9 Ex 13.1
  • Surface Areas and Volumes Class 9 Ex 13.2
  • Surface Areas and Volumes Class 9 Ex 13.3
  • Surface Areas and Volumes Class 9 Ex 13.4
  • Surface Areas and Volumes Class 9 Ex 13.5
  • Surface Areas and Volumes Class 9 Ex 13.6
  • Surface Areas and Volumes Class 9 Ex 13.7
  • Surface Areas and Volumes Class 9 Ex 13.8
  • Surface Areas and Volumes Class 9 Ex 13.9
Board CBSE
Textbook NCERT
Class Class 9
Subject Maths
Chapter Chapter 13
Chapter Name Surface Areas and Volumes
Exercise  Ex 13.6
Number of Questions Solved 8
Category NCERT Solutions

NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6

Assume π = \(\cfrac { 22 }{ 7 } \) unless stated otherwise.

Ex 13.6 Class 9 Maths Question 1.
The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many liters of water can it hold? (1000 cm3 = 1 L)
Solution.
Let r be the radius of cylindrical vessel.
We have, circumference of the base = 132 cm
∴ 2πr = 132
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.1

Ex 13.6 Class 9 Maths Question 2.
The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass
Solution.
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.2

Ex 13.6 Class 9 Maths Question 3.
A soft drink is available in two packs :
(i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and
(ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?
Solution.
(i) We have, h = 15 cm l = 5 cm, b = 4 cm
Volume of cuboidical body =l x b x h = 5 x 4 x 15 = 300 cm3 …(i)
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.3

Ex 13.6 Class 9 Maths Question 4.
If the lateral surface area of a cylinder is 94.2 cm2 and its height is 5 cm, then find
(i) radius of its base,
(ii) its volume, (use, π = 3.14)
Solution.
(i) Let r be the radius of the base.
We have, height (h) = 5 cm and lateral surface area of a cylinder = 94.2 cm2
∴ 2πrh = 94.2
2 x 3.14 x r x 5 = 94.2
⇒ r = \(\cfrac { 94.2}{ 31.4} \)
⇒ r = 3 cm
Hence, radius of base (r) = 3 cm

(ii)
Volume of a cylinder = πr2h = 3.14 x (3)2 x 5
= 3.14 x 9 x 5 = 141.3cm3

Ex 13.6 Class 9 Maths Question 5.
It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of? 20 per m2, find
(i) inner curved surface area of the vessel,
(ii) radius,of the base,
(iii) capacity of the vessel.
Solution.
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.4
(i) Inner curved surface area of the vessel = 110 m2
(ii) Hence, radius of the base is 1.75 m.
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.5

Ex 13.6 Class 9 Maths Question 6.
The capacity of a closed cylindrical vessel of height 1 m is 15.4 L. How many square metres of metal sheet would be needed to make it?
Solution.
Let r be the radius of the vessel.
Given, capacity of a closed cylindrical vessel = 15.4 L
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.6

Ex 13.6 Class 9 Maths Question 7.
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, then find the volume of the wood and that of the graphite.
Solution.
Given, diameter of the graphite cylinder
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.7
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.8

Ex 13.6 Class 9 Maths Question 8.
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, then how much soup the hospital has to prepare daily to serve 250 patients?
Solution.
Given, diameter of bowl = 7 cm
NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6.9

 

We hope the NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6 help you. If you have any query regarding NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.6, drop a comment below and we will get back to you at the earliest.

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers

Recent Posts

  • Letter to The Editor Class 12 CBSE Format, Samples and Examples
  • Speech Writing Format CBSE Class 11 Examples, Samples, Topics
  • Report Writing Class 12 Format, Examples, Topics, Samples
  • Decimals
  • CBSE Class 12 English Letter Writing – Letters Of Application for Jobs
  • NCERT Exemplar Problems Class 7 Maths – Exponents and Powers
  • NCERT Exemplar Class 7 Maths Practical Geometry Symmetry and Visualising Solid Shapes
  • NCERT Exemplar Class 7 Maths Algebraic Expression
  • NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem Ex 8.2
  • NCERT Exemplar Problems Class 7 Maths – Perimeter and Area
  • NEET Physics Chapter Wise Mock Test – General properties of matter
  • ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 6 Factorization MCQS
  • Division of a Polynomial by a Monomial
  • Multiplication-Decimal Numbers
  • Proper, Improper and Mixed fractions

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
cbse ncert
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions