Sarthaks Test
+1 vote
2.8k views
in Mathematics by (7.9k points)

What length of a solid cylinder 2cm in diameter must be taken to recast into a hollow cylinder of length 16cm, external diameter 20cm and thickness 2.5mm?

1 Answer

+1 vote
by (13.1k points)
selected by
 
Best answer

Given that diameter of solid cylinder =2cm 

Given that solid cylinder is recast to hollow cylinder

Length of hollow cylinder =16cm

External diameter = 20cm

Thickness = 2.5mm= 0.25cm

Radius of cylinder =1cm

So volume of solid cylinder=π(1)2 h ........(1)

Let length of solid cylinder be h

Thickness = R - r

0.25 = 10 - r

Internal radius = 9.75cm

So volume of hollow cylinder =π16(100 -95.0625)  ......(2)

Volume of solid cylinder is equal to volume of hollow cylinder.

(1) = (2)

Equating equations (1) and (2)

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

...