![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 radius of Jupiter is 11 times the radius of the Earth. Calculate the ratio of the volumes of Jupiter and the Earth. How many Earths can Jupiter accomodate?
Given:
The radius of Jupiter is 11 times the radius of the Earth.
To do:
We have to calculate the ratio of the volumes of Jupiter and the Earth. Also, we have to find out how many Earths can Jupiter accommodate.
Solution:
Let $r$ be the radius of the earth.
The radius of Jupiter $=11r$
The volume of sphere$=\frac{4}{3}\pi r^3$
The volume of earth, $V_{earth}=\frac{4}{3}\pi r^3$
The volume of Jupiter, $V_{jupiter}=\frac{4}{3}\pi (11r)^3$
$=1331(\frac{4}{3}\pi r^3)$
So, $\frac{Volume\ of\ the\ Jupiter}{volume\ of\ the\ earth}=\frac{V_{jupiter}}{V_{earth}}$
$=\frac{1331(\frac{4}{3}\pi r^3)}{\frac{4}{3}\pi r^3}$
$=\frac{1331}{1}$
Therefore, The volume of Jupiter is $1331$ times the volume of the earth. Thus, Jupiter can accommodate around $1331$ Earths.
Advertisements