The volume of a cone is 48 in.³ the radius is 51.1811 inches determine the height of the cone
The formula for the volume of a cone is V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height.
We are given that V = 48 in.³ and r = 51.1811 inches. Plugging in these values, we get:
48 = (1/3)π(51.1811)²h
Simplifying:
48 = 5485.7763h
h = 48 ÷ 5485.7763
h ≈ 0.0087487 inches
Therefore, the height of the cone is approximately 0.0087487 inches. However, this seems like an unreasonable answer, as the height of the cone is much smaller than its radius. It is possible that there was a mistake in either the given volume or radius.