Question

Jupiter is so huge that ___ Earths can be fit inside Jupiter.

• A. 1250
• B. 1000
• C. 2000
• D. 1317

Answer 1

The correct option is D 1317

The ratio of Jupiter's radius $R_j$ to that of the Earth $R_e$ is:
$\frac{R_j}{R_e}=10.96$

Volume of a sphere of radius $R$ is $\frac{4}{3}\pi R^3$
Approximating jupiter and earth to spheres, we get the ratio of volumes as:
$N=\frac{V_j}{V_e}$
where:
$V_j:\text{Volume of Jupiter}$
$V_e:\text{Volume of Earth}$

$N=\frac{4/3\pi R_j^3}{4/3\pi R_e^3}$
$N={10.96}^3=1317$