Find the height of a cone if the volume is 414.48 cubic inches

height = 395.799 / radius squared or height = 7.34 inches if radius = height

Step-by-step 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