Answer:
it's 2/3piX^3 i got a 100 on the test
Step-by-step explanation:
The expression V=(2/3)πx³ represents the volume of a cone.
It is given that the height of a cone is twice the radius of its base. A cone has a height of 2x and a radius of x.
It is required to find the expression that represents the volume of the cone.
It is defined as a three-dimensional space enclosed by an object or thing.
The height of the cone h = 2x
The radius of the cone r = x
The volume of a cone:
[tex]\rm V = \pi r^2 \frac{h}{3}[/tex]
[tex]\rm V = \pi x^2 \frac{2x}{3}[/tex]
[tex]\rm V = \frac{2}{3} \pi x^3[/tex]
Thus, the expression V=(2/3)πx³ represents the volume of a cone.
Learn more about the volume here:
https://brainly.com/question/16788902
