Question

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​

Answer 1

Answer:

radius is 180

........%

Answer 2

Answer:

Assume Earth and Jupiter to be perfect spheres.

Let radius of Earth be R

e

=R.....................(i)

Radius of Jupiter R

J

=11R......................(ii)

Volume of earth V

e

=

3

4

πR

3

..............(iii)

Volume of Jupiter V

J

=

3

4

πR

J

3

V

J

=

3

4

π(11R)

3

=

3

4

πR

3

×1331..............(iv)

Dividing (iv) by (iii),

V

e

V

J

=

3

4

πR

3

3

4

πR

3

×1331

=1331

Hence, Jupiter can accommodate 1331 earths.