Question

NCERT VIII - Sciences

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?

Answer 1

radius of jupiter = 11 × radius of earth

$R_j=11R_e\\ \\ \frac{R_j}{R_e}=11$

$V_j:V_e=\frac{V_j}{V_e}= \frac{4/3 \times \pi \times R_j^3}{4/3 \times \pi \times R_e^3} = \frac{R_j^3}{R_e^3}=( \frac{R_j}{R_e} )^3 = \frac{11^3}{1}=\boxed{1331:1}$

Ratio of volume of Jupiter and Earth is 1331:1.
So Jupiter can accommodate 1331 Earths.

Answer 2

if we divide volume of the jupitor is divided by volume of earth then we get 1321 is the answer