The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
A. 2/3 pi x 3
B. 4/3 pi x 2
C. 2 pi x 3
D. 4 pi x 3

Option A) 2/3 πx³ is the expression that represents the volume of cone in cubic units.

Step-by-step explanation:

The general formula for the volume of the cone is given by,

⇒ 1/3 πx²h

where,

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.