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Stars And Solar System

Question

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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 accommodate?

Solution

Let, the radius of Earth be R units

So, Volume of Earth =

\frac{4}{3} π R^{3}

cubic units
Given, radius of Jupiter is 11 times the radius of Earth.

So, radius of Jupiter = 11 R units

Volume og Jupiter =

\frac{4}{3} π (11 R)^{3}

=

\frac{4}{3} π (1331 R^{3})

cubic units

Now, the ratio of the volume of Jupiter and Earth is =

\frac{Volume of Jupiter}{Volume of Earth}

=

\frac{\frac{4}{3} π (11 R)^{3}}{\frac{4}{3} π (R)^{3}} = \frac{1331}{1} = 1331 : 1

So, 1331 Earths can be accommodated in one Jupiter.

Some More Questions From Stars and Solar System Chapter

The planet which appears reddish in colour is ________.

A group of stars that appear to form a pattern in the sky is known as a ___________.

A celestial body that revolves around a planet is known as __________.

Shooting stars are actually not _________.

Asteroids are found between the orbits of and __.

Mark the following statement as true (T) or false (F):

Pole star is a member of the solar system.

Mercury is the smallest planet of the solar system.

Mark the following statement as true (T) or false (F):

Uranus is the farthest planet in our solar system.

Mark the following statement as true (T) or false (F):

INSAT is an artificial satellite.

State True or False:

There are nine planets in the solar system.

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