Based on the calculations, the diameter of this cone is equal to 15 meters.
Given the following data:
Volume of cone = 150π m³
Height of cone = 8 meters.
Mathematically, the volume of a cone is given by this formula:
V = 1/3 × πr²h
Where:
Making r the subject of formula, we have:
r = √(3V/πh)
Substituting the given parameters into the formula, we have;
r = √(3 × 150π/π × 8)
r = √(450/8)
r = √56.25
Radius, r = 7.5 meters.
Now, we can find the diameter of this cone:
Diameter = 2r
Diameter = 2 × 7.5
Diameter = 15 meters.
Read more on radius here: brainly.com/question/21367171
