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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1331

1231

1131

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

.
Then, the radius of Jupiter is 11 r.
Volume of the sphere

, where

is the radius of the sphere.
Now,
Volume of the Earth

Volume of the Jupiter

Required ratio

The 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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