Answer:
height of the cone = 8 ft
Step-by-step explanation:
A cone has a volume of 96π ft³. The radius of the cone is 6 ft. The height of the cone can be computed below .
The volume of a cone can be represented as follows
volume of a cone = 1/3πr²h
where
r = radius
h = height
volume of a cone = 1/3πr²h
volume = 96π ft³
r = 6 ft
h = ?
96π = 1/3 × π × 6² × h
96π = 1/3 × π × 36 × h
96π = 12πh
divide both sides by 12π
h = 96π/12π
h = 8 ft
height of the cone = 8 ft
