Question

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Answer 1

Answer: Planets are spherical.

1. Volume of sphere = 4/3 πr3

2. Ratio of volume of Jupiter to earth =

3. So 1331 Earths can actually fit in Jupiter.

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Answer 2

Answer:

Data Provided:-

• Radii of Jupiter is 11 times the radii of the Earth.

To Find:-

• Ratio of their volumes and
• Number of Earth to accommodate the Jupiter.

___________________...

Jupiter and Earth are almost spherical celestial objects, therefore we have to find their volumes by taking help of the below formula:-

Volume of a sphere = $\pink{\boxed{\bf{ \frac{4}{3} \pi {r}^{3}}}}$

(where r = radii of the sphere)

Finding Volume of the Earth:-

Let the radii be = $\pink {e}$

Therefore,

Volume of Earth = $\pink {\frac{4}{3} \pi {e}^{3}}$

NOW, finding the volume of Jupiter:-

Radii of Jupiter = $\pink {11e}$

(Since Radius of Jupiter is 11 times the radius of Earth)

So,

Volume of Jupiter = $\pink{ \frac{4}{3} \pi \times {1331e}^{3}}$

[Since (11)³ = 1331]

...

Finding ratio:-

(Note: Ratio will be found in 'Jupiter:Earth' form.)

$\pink{ \frac{\frac{4}{3} \pi \times {(11e)}^{3}}{\frac{4}{3} \pi {e}^{3}}}$

(Volume of Jupiter = Numerator & Volume of Earth = Denominator)

$\pink{ = \frac{\cancel{\frac{4}{3}} \pi \times 1331 \cancel{{e}^{3}}}{\cancel{\frac{4}{3}} \pi \cancel{{e}^{3}}}}$

(Cancelled:

• 4/3
• π
• e³)

$\pink { = \frac{1331}{1}}$

(After cancellation)

$\bf\pink{ = 1331:1}$

(Ratio between the volumes of Jupiter and Earth)

.........................

Required Answer:-

• Ratio between the volumes of Jupiter and Earth is 1331 : 1.
• After observation of the ratio, we can tell that 1331 Earths can fit in Jupiter.

_____________...

Hope you like it Nushkie! $\pink{ \heartsuit}$.

@TheAssassin™ (for Nushkie)

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