![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
The ratio of radii of two cylinders is 1:2. If the ratio of their height is 2:1, then what will be the ratio of their volumes?
Given:
The ratio of radii of two cylinders is 1:2 and the ratio of their heights is 2:1.
To do:
We have to find the ratio of their volumes.
Solution:
Let the radii of the two cylinders be $x$ and $2x$.
Similarly, let the heights of the two cylinders be $2y$ and $y$.
We know that,
Volume of a cylinder of radius $r$ and height $h$ is $\pi r^2h$.
Therefore,
The ratio of the volumes of the two cylinders $=\pi (x)^2(2y) : \pi (2x)^2(y)$
$=2x^2y:4x^2y$
$=2:4$
$=1:2$
The ratio of their volumes is $1:2$.
Advertisements