The radius of Jupiter is 11 times the radius of the Earth. Col. ratio of the volumes of Jupiter and the Earth. How many Earths. calculate ratio of the Jupiter and the earth . how many earths can jupiter accomodate?
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Explanation:
Consider two spheres one is Earth, and another one is Jupiter with radii Rand R'. In the given question, we have that the radius of Jupiter is 11 times the radius of the Earth. Hence, the ratio suggests that Jupiter can accommodate 1331 several piles of Earth in it.
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Answer:
The volume of sphere = 4/3 ℼr3
Let the radius of the earth be ‘r’
The radius of Jupiter = 11 x r
The volume of earth = 4/3 ℼr3
The volume of Jupiter = 4/3 ℼ (11r)3
= 4/3 ✕ (22 / 7) ✕ (11 ✕ r)3
The required ratio = Volume of the Jupiter/volume of the earth
= (1331)4/3 ℼr3/4/3 ℼr3
= 1331 : 1
The volume of Jupiter is 1331 times the volume of the earth. Thus, around 1331 earths can fit into one jupiter.
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