Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
342 views
in Mensuration by (38.0k points)
closed by

A piece of ductile metal is in the form of a cylinder of diameter 1 cm and length 5 cm. It is drawn out into a wire of diameter 1 mm. What will be the length of the wire so formed?

2 Answers

+1 vote
by (36.4k points)
selected by
 
Best answer

Given,

Diameter of metallic cylinder = 1 cm

Radius of cylinder = \(\frac{1}{2}\) cm

Length of cylinder = 5 cm

Diameter of wire drawn from it = 1 mm = 0.1 cm

Let length of wire = h cm

so,

Length of wire drawn from metal = \(\frac{volume\,of\,metal}{volume\,of\,wire}\) = \(\frac{π\times \frac{1}{4}\times 5}{π\times 0.1^2}\) = 500 cm = 5 m

+1 vote
by (105 points)

Volume of the cylinder is

V =  π r2 h = π 5/4 cm3

The wire is drawn into cylinder of radius 0.05cm and length L  (1mm = 0.1cm = 2*radius)

Therefore

L π  (0.05cm)= π 5/4 cm⇒ L = 500cm

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...