Question

The radius of Jupiter is $7.1\times {10}^{3}m$ and that of the Earth is $6.3\times {10}^{6}m$. Compare the volume of the two.

Answer 1

$R_j=$ radius of Jupiter $=7.1\times {10}^3$m

$R_e=$radius of earth $=6.3\times {10}^6$m.

Volume of Jupiter $=\frac{4}{3}\pi (R_j{)}^3$

$=\frac{4}{3}\pi (7.1\times {10}^3{)}^3$

Volume of earth$=\frac{4}{3}\pi (R_e{)}^3$

$=\frac{4}{3}\pi (6.3\times {10}^6{)}^3$

$\frac{V_J}{V_e}=\frac{\text{/}\frac{4}{3}\pi \times (7.1{)}^3\times {10}^9}{\text{/}\frac{4}{3}\pi \times (6.3{)}^3\times {10}^{18}}$

$\frac{V_J}{V_e}=\frac{(7.1{)}^3}{(6.3{)}^3\times {10}^9}=1.4313\times {10}^{-9}$