Respuesta :
The volume of the cone with a diameter of 12m and height of 9m = 108π m³.
∴ Option D. is the right option.
What do we mean by volume?
The volume of a 3-Dimensional object is the maximum space it can occupy.
What do we mean by a cone?
A cone is a 3-Dimensional object that has a circular base and reduces gradually throughout, ending up with a pointed head.
How do we solve the given question?
We are asked to find the volume of the cone with a diameter of 12m and a height of 9m.
The formula for the volume of a cone is as this:
Volume = (πr²h)/3 cubic units.
For the given cone height (h) = 9m, radius (r) = diameter/2 = 12/2 = 6m.
We substitute values of h and r in the formula to get,
Volume = (π*(6²)*9)/3 m³ = (π*(36)*9)/3 m³ = (324π)/3 m³ = 108π m³.
∴ The volume of the cone asked = 108π m³.
Learn more about the Volume of a cone at
https://brainly.com/question/1082469
#SPJ2