No products in the cart.

Water running in a cylindrical pipe …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Water running in a cylindrical pipe of inner diameter 7 cm is collected at the rate of 192.5 liters per minute. Find the rate of flow of water in the pipe in km/h
  • 1 answers

Sia ? 6 years, 5 months ago

Flow rate {tex}= \frac { \text { Volumetric flow rate } } { \text { Area } }{/tex}
Area = {tex}\pi r ^ { 2 }{/tex}
{tex}= \frac { 22 } { 7 } \times \frac { 7 } { 2 } \times \frac { 7 } { 2 } = 38.5 \mathrm { cm } ^ { 2 }{/tex}
Volumetric flow rate = 192.5 l/min.
Since 1 l = 0.001 m3 = 1000 cm3
So, volumetric flow rate = 192.5 {tex}\times{/tex} 1000 cm3/min
So, flow rate per 38.5 cm2 {tex}= \frac { 192.5 \times 1000 \space cm^3 /min} { 38.5\space cm^2 } {/tex}
{tex}\Rightarrow{/tex} flow rate = 5000 cm/min
{tex}= \frac { 5000 \times 0.00001 \mathrm { km } } { \left( \frac { 1 } { 60 } \right) \mathrm { h } }{/tex}
= 3 km/hr

Thus, water is flowing at the speed of 3 km/hr in the water pipe 

https://examin8.com Test

Related Questions

(A + B )²
  • 1 answers
Find the nature of quadratic equation x^2 +x -5 =0
  • 0 answers
sin60° cos 30°+ cos60° sin 30°
  • 2 answers
Venu Gopal has twice
  • 0 answers
X-y=5
  • 1 answers
Prove that root 8 is an irration number
  • 2 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