Arthurtirone44idn
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Lake Erie, the smallest of the Great Lake by volume, still holds an impressive 116 cubic miles of water. Suppose you start today dumping out the entire volume of Lake Erie using a cone cup. A typical cone cup has a diameter of 2 and 3/4 inches and a height of 4 inches. About how long would it take you to empty the lake if you could dump out one cup per second?

Sagot :

3.7261×10¹⁵ seconds  is the time it would take you to empty the lake

How to determine how long it would take 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

Learn more about volume on:

https://brainly.com/question/463363

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