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
124 views
in Mathematics by (97.2k points)
closed by
The diameter and height of a right circular cylinder are equal to the diameter of a sphere. Find the ratio of volumes of cylinder and sphere.

1 Answer

0 votes
by (88.7k points)
selected by
 
Best answer
Let radius of sphere = r
`therefore` Volume of sphere `V_(1)=(4)/(3)pi r^(3)`
Now, the diameter of cylinder = diameter of sphere = 2r
`therefore` radius of cylinder = r and height of cylinder = 2r
Now, volume of cylinder `= pi r^(2)(2r)=2pi r^(3)`
`therefore ("Volume of cylinder")/("Volume of sphere")=(2pi r^(3))/((4)/(3)pi r^(3))=(3)/(2)`
`rArr` Required ratio = 3 : 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

...