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By definition, the volume of a cone is given by:
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
The height is:
Substituting values:
Rewriting:
Answer:
An expression that represents the volume of the cone, in cubic units is:
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
The height is:
Substituting values:
Rewriting:
Answer:
An expression that represents the volume of the cone, in cubic units is: