Option A) 2/3 πx³ is the expression that represents the volume of cone in cubic units.
<u>Step-by-step explanation:</u>
The general formula for the volume of the cone is given by,
⇒ 1/3 πx²h
where,
- x is the radius of the base of cone.
- h is the height of the cone.
It is given that,
Height of the cone is twice the radius of its base.
Therefore, the volume of the cone is represented as
⇒ Substitute h=2x in the volume of the cone volume.
⇒ 1/3 πx²(2x)
⇒ 2/3 πx³ cubic units.
Hence, option A) 2/3 πx³ is the expression that represents the volume of cone in cubic units.
