The height of a cone is twice the radius of its base. A cone has a height of 2 x and a radius of x. What expression represents the volume of the cone, in cubic units? Two-thirdsπx3
Four-thirdsπx2
2πx3
4πx3

Respuesta :

Answer:

Let's Find it!

Step-by-step explanation:

So let's use the formula for the volume of a cone:

[tex]V=\pi r^{2} \frac{h}{4} \\V=\pi *x^{2} *\frac{1}{2} x\\V=\frac{1}{2} \pi x^{3}[/tex]

So there you go!(you could also plug the things in google but thats okay)

Hope this Helps!

P.S. Stay Safe!

The volume of a cone is the amount of space in it, and the expression for the volume of the cone is 2/3πx³

What is volume?

The volume of a cone is the amount of space in the cone.

The given parameters are:

  • Height = 2 * Radius
  • Radius = x

The volume of a cone is:

V = 1/3πr²h

So, we have:

V = 1/3π(x)² * (2x)

Evaluate

V = 2/3πx³

Hence, the volume of the cone is 2/3πx³

Read more about volumes at:

https://brainly.com/question/1972490