Answer: diameter = 5 meters
Step-by-step explanation:
Since the waterspout is cone shaped, we would apply the formula for determining the volume of a cone which is expressed as
Volume = 1/3 × πr²h
Where
r represents the radius of the cone.
h represents the vertical height of the cone.
π is a constant whose value is 3.14
From the information given,
Volume = 229.1 cubic meters
Height = 35 meters
Therefore,
229.1 = 1/3 × 3.14 × r² × 35
229.1 = 36.63r²
r² = 229.1/36.63 = 6.254
r = √6.254
r = 2.5 meters
Diameter = 2 × radius
Diameter of the waterspout is
2 × 2.5 = 5 meters