SOLUTION: To estimate how long a thunderstorm will last, meteorologist can use the formula: t= square root of d^3 over the square root of 216, where t is the time in hours and d is the diame

Question 29134: To estimate how long a thunderstorm will last, meteorologist can use the formula: t= square root of d^3 over the square root of 216, where t is the time in hours and d is the diameter of the storm in miles.
1) A thunderstorm is 8 miles in diameter. Estimate how long the storm will last. Give your answer in simplified form and as a decimal(book asked this, not me)
2)Will a thunderstorm twice this diameter last twice as long?Explain
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
Your question:To estimate how long a thunderstorm will last, meteorologist can use the formula: t= square root of d^3 over the square root of 216, where t is the time in hours and d is the diameter of the storm in miles.
1) A thunderstorm is 8 miles in diameter. Estimate how long the storm will last. Give your answer in simplified form and as a decimal(book asked this, not me)
2)Will a thunderstorm twice this diameter last twice as long?Explain
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t=((d^3)/216)^(1/2)
t=(512/216)^(1/2)
t=((8)(3)^(1/2))/9
t is about 1.539600718 hours

I don't believe the storm will be twice as long because the number multiplied by itself three times will give a much, much higher number than what was your original diameter.

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