Answer:
height = 395.799 / radius squared or height = 7.34 inches if radius = height
Explanation:
What is the volume formula for a cone?
V = (1/3)* (π r^2)*h
where r = radius of the base, h = height of the cone
V= volume = 414.48 cubic inches
414.48 = (1/3)* (π r^2) h
3 * 414.48/π = r*r * h
395.7992 cubic inches = r*r*h
if Radius = height
then h = cube root (395.7992) = 7.342 inches