The volume of a cone is 48 in.³ the radius is 51.1811 meters determine the height of a cone

First, let's convert the radius from meters to inches:

51.1811 meters = 2012.598 inches

Now, we can use the formula for the volume of a cone:

V = (1/3)πr²h

We know that V = 48 in.³ and r = 2012.598 in., so we can plug in these values:

48 = (1/3)π(2012.598)²h

Simplifying, we get:

h = (48 * 3)/(π * 2012.598²)

h ≈ 0.049 in.

However, this answer seems very small and doesn't make much sense. It's possible that there was a mistake in the question or in the given values.