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The diameter of Jupiter is 12756000 m. If a new planet is discovered whose diameter is $586$ the diameter of Jupiter, then the diameter of this new planet in km will be ____ km.

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Detailed Solution

The diameter of Jupiter is 12756000 m. If a new planet is discovered whose diameter is

586

the diameter of Jupiter, then the diameter of this new planet in km will be 741.6279 km.
It is given that the diameter of Jupiter is 12756000 m and the diameter of a new planet is

586

the diameter of Jupiter.
Let the diameter of the new planet be

x .

The diameter of Jupiter = 12756000 m.
We know that 1000 m = 1 km.

⇒ 1 m = 11000 km .

⇒ 12756000 m = 127560001000 km . ⇒ 12756000 m = 12756 km .

Therefore the diameter of Jupiter = 12756 km.
Since it is given that the diameter of a new planet is

586

the diameter of Jupiter, therefore we have,

x = 586 × 12756 ⇒ x = 6368086 ⇒ x = 741.6279 km .

Therefore, the diameter of the new planet will be 741.6279 km.

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