Question

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 can Jupiter accomodate
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Answer 1

let the radius of earth be = r

let the radius of Jupiter be = 11r because Jupiter is 11 radius of earth

then

$\frac{\frac{4}{3} \pi11 r^{3}}{\frac{4}{3} \pi r^{3}}$

$\frac{11r^{3}}{r^{3} }$

11:1

as we know that jupiter is 11 times the radius of earth, and a sphere is made up of 3 circles , so the number of earths jupiter can accomodate is $11^{3}$

answer = 1331