Answer: [tex]7\times10^{19} buckets[/tex]
Step-by-step explanation:
Given: A cubic kilometer=[tex]10^{15}[/tex]cubic centimeters
The volume of world’s oceans=[tex]1.4\times10^{9}[/tex] cubic kilometers of water.
⇒ The volume of world’s oceans=[tex]1.4\times10^{9}\times10^{15}[/tex] cubic centimeters of water.
Volume of a bucket = 20,000 cubic centimeters of water.
The number of bucket-loads would it take to bucket out the world’s oceans
[tex]n=\frac{\text{volume of ocean}}{\text{volume of bucket}}=\frac{1.4\times10^{9}\times10^{15}}{20000}[/tex]
[tex]\Rightarrow\ n=\frac{1.4\times10^{9+15}}{0.2\times10^5}......[a^n\times a^m=a^{m+n}]\\\Rightarrow\ n=7\times10^{24-5}.....[\frac{a^m}{a^n}=a^{m-n}]\\\Rightyarrow\ n=7\times10^{19}[/tex]
hence, [tex]7\times10^{19}[/tex] bucketloads would it take to bucket out the world’s oceans.
