Question

What expression represents the volume of the cone in cubic units

Answer 1

Answer:

$Volume=\frac{2}{3} \, \pi \,x^3$  which agrees with the first answer listed among your options

Step-by-step explanation:

Volume of cone: $\frac{1}{3} Base\,*\,height$

So in our case:

1) Base s a circle, of radius "x" then the surface of this is: $Area = \pi \,r^2 =\pi\,x^2$

2) the cone's height is "2x"

Therefore the cone's volume is: $Volume=\frac{1}{3} \pi x^2\,(2x)=\frac{2}{3} \, \pi \,x^3$

Answer 2

Answer: A

Step-by-step explanation: