Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

If the radius od wire is decreased to one-fourth of its original and its volume remains the same then how many times will the new length becomes its

original length?



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Initial radius is R
length is L
volume of wire = π R²L
now new radius is R - R/4 = 3R/4
new length be L'
new volume = initial volume
⇒π (3R/4)²× L' = π R²L
 ⇒ (9/16 ) L' =  L
⇒L' = 16/9 L
new length is 16/9 times the original length
0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts