Question

The radius of the earth is approximately 3950 miles. The radius of Jupiter is approximately 44,400 miles. Since the radius of Jupiter is more than 11 times that of the earth, which comes closest to the volume of Jupiter ?
A) About 12 times that of the earth
B) About 150 times that of the earth
C) About 600 times that of the earth
D) About 1300 times that of the earth

Answer 1

for simplicity's sake let's model the volume of each planet as a sphere

(4/3)pi* r^3 gives volume of a sphere. therefore, multiplying the radius by some scale factor (a) will multiply the whole volume by a^3

so, since the radius of jupiter is about 11 times earth's radius, the scale factor is 11^3