Question

14. 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?

Answer 1

Answer:

Stars and Solar System

Calculate the ratio of the volumes of Jupiter and the Earth. How many Earths can Jupiter accommodate? Given, radius of Jupiter is 11 times the radius of Earth. So, 1331 Earths can be accommodated in one Jupiter

Explanation:

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Answer 2

                     G℩νεη╺

• Radius of Jupiter = 11 times the radius of Earth.

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                      τσ F℩ηδ╺

• Ratio of the volumes of Jupiter and Earth.

• Number of Earths that can accommodate in Jupiter.

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                     Sσℓυτ℩ση╺

If radius of Earth is taken as 1 unit, then the radius of Jupiter will be 11 units (11 times the radius of Earth).

✠ Formula for calculating volume of a sphere:

              ✿ $\boxed{\orange{\sf \dfrac{4}{3} \times \pi \times r^3}}$

Where,

☞ r = radius

☞ π = constant (3.14)

• Volume of Jupiter = $\sf \dfrac{4}{3} \times \pi \times r^3$

☞  $\sf \dfrac{4}{3} \times \pi \times (11)^3$

☞  $\sf \dfrac{4}{3} \times \pi \times 1331$

• Volume of Earth = $\sf \dfrac{4}{3} \times \pi \times r^3$

☞ $\sf \dfrac{4}{3} \times \pi \times (1)^3$

☞ $\sf \dfrac{4}{3} \times \pi \times 1$

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                     ℜατ℩σ╺

$\sf {\orange{\dfrac{Volume\;of\;Jupiter}{Volume \; of \; Earth}}}$

$\implies \sf \dfrac{4 \times \pi \times 1331 \times 3}{4 \times 3 \times \pi \times 1}$

$\implies \sf \dfrac{1331}{1}$

$\sf \implies 133:1$

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