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Q.

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?


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a

1331

b

1231

c

1131

d

None of these 

answer is A.

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Detailed Solution

Concept: The radius of Jupiter is 11  times the radius of the Earth. Calculate the ratio of the volumes of Jupiter and the Earth. The ratio indicates that Jupiter can hold 1331 Earth piles.
Let the radius of the earth be Question Image.
Then, the radius of Jupiter is 11 r.
Volume of the sphere Question Image, where Question Image is the radius of the sphere.
Now,
Volume of the Earth Question ImageVolume of the Jupiter Question ImageRequired ratio
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageThe ratio is 1331: 1.
Jupiter can accommodate 1331 Earths.
As a result, the ratio indicates that Jupiter can hold 1331 Earth piles.
Hence, option 1 is correct.
 
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