LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
11 views
in Aptitude by (54.3k points)
closed by
Find the length of a wire, if a metallic sphere of diameter 7 cm is melted and drawn into a wire of 21 diameter.
1. 14/9 cm
2. 28/27 cm
3. 14/27 cm
4. 28/9 cm

1 Answer

0 votes
by (30.0k points)
selected by
 
Best answer
Correct Answer - Option 3 : 14/27 cm

Given

Diameter of sphere= 7 cm

Diameter of wire = 21 cm

Formula used

Volume of sphere = (4/3)πr3

Volume of cylinder = πr2h

Calculation

(4/3) × π × r= π × R2 × h

Where r is the radius of the sphere, R and h are the radius and height of the cylinder.

⇒ (4/3) × (7/2) × (7/2) × (7/2) = (21/2) × (21/2) × h

⇒ (2 × 7 × 7 × 7)/(3 × 21 × 21) = h

⇒ 14/27 = h

∴ The length of a wire is 14/27 cm.

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

...