Answer:
A. [tex]V = \frac{2}{3}\pi x^3[/tex]
Step-by-step explanation:
Formula for volume of a cone: [tex]V = \frac{1}{3}\pi r^2h[/tex], where we know r = x, and h = 2x.
We can substitute the variables in the formula to find the expression that represents the total volume of the cone.
[tex]V = \frac{1}{3}\pi r^2h\\V = \frac{1}{3}\pi x^2*2x\\V = \frac{1}{3}\pi 2x^3[/tex]Which simplifies into:
A. [tex]V = \frac{2}{3}\pi x^3[/tex]
