CBSE Class 10CBSE
Account
It's free!

User


Login
Create free account


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution - A Copper Rod of Diameter 1cm and Length 8cm is Drawn into a Wire of Length 18m of Uniform Thickness. Find Thickness of Wire? - CBSE Class 10 - Mathematics

Question

A copper rod of diameter 1cm and length 8cm is drawn into a wire of length 18m of uniform thickness. Find thickness of wire?

Solution

Given diameter of copper rod(d1) = 1cm

Radius`(r_1)=1/2=0.5cm`

Length of copper rod (h1) = 8cm

Volume of cylinder`=pir_1^2h_1`

`V_1=pi(0.5)^2xx8cm^3`    ........(1)

`V_2=pir_2^2h_2`

Length of wire(h2) = 18m = 1800cm

`V_2=pir_2^2(1800)cm^3`   ........(2)

Equating (1) and (2)

V1 = V2

`pi(0.5)^2xx8=pir_2^2(1800)`

`(pi(0.5)^2xx8)/(pi(1800))=r_2^2`

r2 = 0.033cm

∴Radius thickness of wire = 0.033cm .

 

  Is there an error in this question or solution?

APPEARS IN

 R.D. Sharma 10 Mathematics (with solutions)
Chapter 16: Surface Areas and Volumes
Q: 35

Reference Material

Solution for question: A Copper Rod of Diameter 1cm and Length 8cm is Drawn into a Wire of Length 18m of Uniform Thickness. Find Thickness of Wire? concept: Volume of a Combination of Solids. For the course CBSE
S