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?

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

answer

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explanation

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