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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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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Answer:
The ratio gives us the number of Earth's can be accommodated in Jupiter. Therefore, the ratio of the volumes of Jupiter and the Earth are 1:1331 . Therefore 1331 Earths can be accommodated in Jupiter. Hence, option (A) is correct.
Verified answer
Answer:
[tex]\large\star{\sf{1: 11}}[/tex]
[tex]\large\underline{\sf{11 \: earth}}[/tex]
Explanation:
Given
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?
[tex]\large\underline{\sf{Solution \rightarrow 1}}[/tex]
[tex]\large\underline{\sf{Volume \: of \: sphere= \frac{4}{3} \pi {r}^{3} }}[/tex]
[tex]\large\underline{\sf{So}}[/tex]
[tex]\large\underline{\sf{Volume \: of \: earth= \frac{4}{3}\pi {r}^{3} }}[/tex]
[tex]\large\underline{\sf{Volume \: of \: Jupiter = \frac{4}{3}\pi {11r}^{3} }}[/tex]
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