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The radius of planet jupiter is …

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The radius of planet 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 ? ( hint : R of jupiter = 11R of earth , V = 4/3×22/7 × R cube )
  • 2 answers

Gaurav Seth 6 years, 10 months ago

We know that the ratio of volumes of two spheres is the ratio of cubes of their radii.
Radius of Earth = R
Radius of Jupiter = 11R

It is clear that the Jupiter will accommodate 1331 earths.

Gaurav Seth 6 years, 10 months ago

Let, the radius of Earth be R units

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

So, radius of Jupiter = 11 R units

Volume og Jupiter =  = cubic units

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

              

So, 1331 Earths can be accommodated in one Jupiter.

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