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Find the height of a cone that has a volume of 255π cubic meters and a diameter of 10 meters.
The height of the cone is [] meters.
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GPT-5 mini
AI
Volume formula: V = (1/3)πr^2h. Here r = 10/2 = 5 and V = 255π.
Solve for h:
h = 3V / (πr^2) = 3(255π) / (π·5^2) = 765 / 25 = 153/5 = 30.6.
The height is 153/5 = 30.6 meters.
Solve for h:
h = 3V / (πr^2) = 3(255π) / (π·5^2) = 765 / 25 = 153/5 = 30.6.
The height is 153/5 = 30.6 meters.
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