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
3.3k views
in Mathematics by (33.0k points)

The diameters of the internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast and recast into a solid cylinder of diameter 14 cm, find the height of the cylinder.

1 Answer

0 votes
by (60.2k points)
selected by
 
Best answer

Internal diameter of hollow spherical shell = 6 cm 

Internal radius of hollow spherical shell = 6/3 = 3 cm 

External diameter of hollow spherical shell = 10 cm 

External radius of hollow spherical shell =10/2 = 5 cm 

Diameter of cylinder =14 cm 

Radius of cylinder = 14/2 = 7 cm 

Let height of cylinder = x cm 

According to the question Volume of cylinder = Volume of spherical shell

Height off cylinder = 8/3 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

...