Answer:
h = 10.99 in
Step-by-step explanation:
Volume of a cone formula: V=πr^2*(h/3)
r is the radius of the base of the cone. The diameter of the base of your cone is 12 in. The radius is always diameter divided by 2, so the radius here is 6 in.
V is the volume. The volume of your cone is given as 414.48 in^3.
h is the height of the cone. That's the variable we need to solve for. So plug everything in:
414.48 = π (6)^2 * h/3
414.48 = π36 * h/3
414.48/ (π36) = h/3
(414.48/ (π36))*3 = h
10.99 in = h
