the radius of jupiter is 11 times the radius of the earth calucate the ratio of the volumes of jupiter and the earth how many earth can jupiter accommdate ?
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Answer:
ans 1331
Explanation:
Let the radius of the Earth be RE and volume be VE
Let the radius of the Jupiter be RJ and volume be VJ
Given, RJ=11RE
So, VEVJ=43Π(RE)343Π(RJ)3=(RE)3(RJ)3
⇒VEVJ=(RE)3(11RE)3
⇒VEVJ=1(11)3
⇒VE:VJ=1:1331
Therefore, the ratio of the volumes of Jupiter and the Earth are 1:1331 .
Therefore 1331 Earths can be accommodated in Jupiter.
remember volume of a sphere of radius R is 43ΠR3
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