LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
381 views
in Surface Areas And Volumes by (31.4k points)
closed by

The difference between the outer and inner curved surface areas of a hollow right circular cylinder 14 cm long is 88 cm2. If the volume of metal used in making the cylinder is 176 cm3, find the outer and inner diameters of the cylinder.[ use π = \(\frac{22}7\)].

1 Answer

+1 vote
by (30.3k points)
selected by
 
Best answer

Height of hollow cylinder =14 cm 

Let the radius of outer radius be ‘R’ cm 

Let the radius of inner radius be ‘r’ cm 

Difference between inner and outer Curved surface area = 88 cm 

Curved surface area of hollow cylinder = 2π(R - r)h

⇒ 2π(R – r)h = 88 

⇒ R - r = \(\frac{{88}\times{7}}{{2}\times{22}\times{14}}\)

⇒ R – r = 1 ……… (1) 

Volume of metal = 176 

Height of hollow cylinder = 14 cm 

Volume of hollow cylinder (metal) =π(R2 - r2)h

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

...