A waterspout forms in the shape of a cone with a height
of 35 meters and a volume of 229.1 cubic meters. What is
the diameter of the waterspout?

PLS HELP!!
show work!

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

99

step-by-step explanation: