3.7261×10¹⁵ seconds is the time it would take you to empty the lake
Given that:
Lake Eric can hold 116 cubic miles of water
One cup has a diameter of 2 and 3/4 inches and a height of 4 inches
Volume of cone cup = 1/3 πr²h
Volume of cone cup = 1/3×π×(11/8)²×4 = 7.92 cubic inches
Volume of Lake Erie = 116 cubic miles
To convert to cubic inches multiply by 2.544×10¹⁴:
Volume of Lake Erie = 116×2.544×10¹⁴ = 2.95104×10¹⁶ cubic inches
Time taken = 2.95104×10¹⁶ / 7.92 = 3.7261×10¹⁵ seconds
Therefore, it would take you 3.7261×10¹⁵ seconds to empty the lake
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