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?

Diameter of the base of the cone = 8 meters

Step-by-step explanation:

State highway department uses a salt storage enclosure which is in the shape of a cone.

Height of the storage in conical shape = 9 meters

Volume of the storage = 48π m³

Let the radius of this conical storage = r meters

Formula to get the volume of a cone =

Here 'r' is the radius of the base of the cone and 'h' is the height of the cone.

Therefore, Volume =

r² =

r =

r = 4 meters

Since, diameter = 2r

                          = 2(4)

                          = 8 meters

Therefore, diameter of the base of the cone = 8 metres

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