To describe violent storms, such as hurricanes and tornadoes, meteorologists use the formula D^3=830t^2, where D is the diameter (in km) of the storm and t is the time (in h) that the storm is expected to last. If a storm has a diameter of 25km , how long is it expected to last?
take 25^3 and divide it by 830 then take the square root of that
To find out the expected duration of the storm, we need to solve the given formula for t. Let's break down the steps:
1. Start with the formula: D^3 = 830t^2
2. Substitute the given diameter, D = 25 km: (25)^3 = 830t^2
3. Simplify the equation: 15625 = 830t^2
4. Divide both sides of the equation by 830: 15625/830 = t^2
5. Calculate the left side: 18.85 ≈ t^2
6. Take the square root of both sides to isolate t: √18.85 ≈ √t^2
7. Calculate the square root: t ≈ 4.34
Therefore, the storm is expected to last approximately 4.34 hours.