No products in the cart.

A cylindrical metallic pipe is 21 …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

A cylindrical metallic pipe is 21 cm long. If the if the difference between the outside and inside surface area is 44cm square if the pipe is made of 110 centimetre cube of metal. Find the outer and inner diameter of the pipe
  • 1 answers

Sia ? 3 years, 6 months ago

inner diameter = 2r  cm  => inner radius = r cm

outer diameter = 2R  => outer radius =R cm

Outer Surface area = 2πRh

Inner Surface area = 2πrh

2πRh - 2πrh = 44

=> 2π (R - r) h = 44

h = 21

=> 2(22/7)  (R - r) 21 = 44

=> R - r = 1/3

Material used  =   πR²h  - πr²h

=  π(R + r)(R - r) h

= (22/7)  (R + r)(1/3) (21)  = 110

=> R + r = 5

R + r = 5

R - r = 1/3

=> 2R = 5 + 1/3

=> 2R = 16/3

2r = 14/3

Outer Diameter = 16/3 cm

Inner Diameter = 14/3 cm

http://mycbseguide.com/examin8/

Related Questions

sin60° cos 30°+ cos60° sin 30°
  • 2 answers
X-y=5
  • 1 answers
Venu Gopal has twice
  • 0 answers
(A + B )²
  • 1 answers
Find the nature of quadratic equation x^2 +x -5 =0
  • 0 answers
Water
  • 0 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App