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
204 views
in Mathematics by (43.8k points)
closed by
A circular iron-plate of thickness `(2)/(3)` cm is made by beating an iron-sphere of diameter 4 cm. What will be the radius of the iron-plate?

1 Answer

0 votes
by (44.9k points)
selected by
 
Best answer
The radius of the iron-sphere `-(4)/(2)`cm=2cm.
`therefore` the volume of the iron-sphere `=(4)/(3)pixx2^(3)cc.=(32pi)/(3)cc.`
Let the radius of the iron-plate be r cm.
`therefore` the area of the iron-plate `=pir^(2)` sq-cm.
Since the iron-plate is of thickness `(2)/(3)` cm, its volume =`(2)/(3)pir^(2)` cu.cm.
As per question `(2)/(3)pir^(2)=(32pi)/(3)rArr r^(2)=16rArr r=sqrt(16)=4`
Hence the radius of the circular iron-plate=4 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

...