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?
so find the volume of them volume of sphere=4/3pi times r^3 volume of earuth 4/3 times pi times 6371^3=aprox 1.08 times 10^12 (really big number so scientific notation)
volume of pluto 4/3 times pi times 1161^3=6.56 times 10^9
so pluto times x=earht divide both sdies by pluto x=earth/pluto solve for x earth=1.08 times 10^12 pluto=6.56 times 10^9 (1.08 times 10^12)/(6.56 times 10^9)=(1.08/6.56) times (10^12)/(10^9) when dividing exponents, just subtract 12-9=3 so 1.08/6.56 times 10^3 0.164634 times 10^3 164.634 aprox 165 plutos will fit in earth
