A state highway department uses a salt storage enclosure that is in the shape of a cone, as shown above. If the volume of the storage enclosure is 48π m3, then what is the diameter of the base of the cone, in meters?
Answer:
D = 8 m
Explanation:
vol = πr² h/3
48π = πr² x 9/3
48π = 3πr²
r = sqrt (48/3)
r = 4 m
therefore the diameter D = 2r = 2 (4) = 8 m