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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Let the radius of the earth be x km
Therefore the radius of Jupiter = 11x km
The volume of earth = (4/3)*(22/7)*x^3
The volume of Jupiter = (4/3)*(22/7)*(11x)^3 = (4/3)*(22/7)*x^3*1331
The ratio = (4/3)*(22/7)*x^3:(4/3)*(22/7)*x^3*1331 = 1 : 1331
No. of earth accommodated = [(4/3)*(22/7)*x^3*1331]/[ (4/3)*(22/7)*x^3] = 1331.....
Therefore the radius of Jupiter = 11x km
The volume of earth = (4/3)*(22/7)*x^3
The volume of Jupiter = (4/3)*(22/7)*(11x)^3 = (4/3)*(22/7)*x^3*1331
The ratio = (4/3)*(22/7)*x^3:(4/3)*(22/7)*x^3*1331 = 1 : 1331
No. of earth accommodated = [(4/3)*(22/7)*x^3*1331]/[ (4/3)*(22/7)*x^3] = 1331.....
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