Question (ii) - Page 42 - Getting a sense of Large Numbers - Chapter 2 Class 8 - Power Play (Ganita Prakash)

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Question (ii) - Page 42 Calculate and write the answer using scientific notation: (ii) If one could drink a glass of water (200 ml) every 10 seconds, how long would it take to finish the entire volume of water on Earth?This calculation requires a few steps: find the total volume of water, determine how many glasses that is, and then calculate the total time. Data from the book: There are an estimated 2×10^25 drops of water on Earth, assuming 16 drops per milliliter (ml). Calculation: Find the total volume of water in ml : " Total Drops " /(" Drops per " ml)=(2×10^25)/16=0.125×10^25=𝟏.𝟐𝟓×〖𝟏𝟎〗^𝟐𝟒 " " 𝐦𝐥 Find the number of glasses: Divide the total volume by the volume of one glass (200 ml ). " Total Volume " /" Volume per Glass " =(1.25×10^24)/200=(1.25×10^24)/(2×10^2 ) =0.625×10^22=𝟔.𝟐𝟓×〖𝟏𝟎〗^𝟐 Find the total time: Multiply the number of glasses by the time it takes to drink one ( 10 seconds). (" Number of Glasses " )× 10" seconds "=(6.25×10^21 )×10 =𝟔.𝟐𝟓×〖𝟏𝟎〗^𝟐𝟐 " second" Answer: It would take 𝟔.𝟐𝟓 × 〖𝟏𝟎〗^𝟐𝟐 seconds to drink all the water on Earth. For context, that's nearly two quintillion years-far longer than the age of the universe!