Question

The radius of jupiter is 11 times the radius of the earth. calculate the ratio of the volume of jupiter and the earth . how many earth the jupiter can accomoclate?​

Answer 1

hoping this is a correct answer if it is tell me in comment box thank you and listen Jupiter can accommodate 33 Earth in it .

Answer 2

$\huge{\mathfrak{\underline{Answer:}}}$


$\sf{1331 \ratio 1}$


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$\huge{\underline{\mathfrak{Solution:}}}$


Let the Radius of Earth be r.


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

Radius of Jupiter = 11r

$\sf Volume \: of \: Jupiter = \dfrac{4}{3} \times \pi \times {(11r )}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = \frac{4}{3} \times \pi \times 1331r {}^{3} \\ \\ \sf Ratio \: of \: Volume \: of \: Jupiter \: to \: the \: Earth = \frac{Volume \: of \: Jupiter}{Volume \: of \: Earth} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = \frac{ \cancel{\dfrac{4}{3} } \times \cancel \pi \times 1331\cancel{ r {}^{3} }}{ \cancel{\dfrac{4}{3}} \times \cancel \pi \times \cancel{ r {}^{3} } } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf= 1331 \ratio 1$

So,
1331 Earth can be accommodated in one Jupiter.

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