Question

The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of Pluto does it take to have the same volume as Earth?
121
154
165
176
189

Answer 1

is it C?

Answer 2

The ratio of volumes of the Earth and Pluto will give the solution. The ratio of volumes is given as \[V= \frac{ R^{3}}{ r^{3} }\]

Answer 3

Let R be Earth's radius, and r be Pluto's radius.