Answer:
2/3πx³
Step-by-step explanation:
Volume of a cone is expressed as;
V = 1/3πx²h ... 1
x is the radius
h is the height of the cone
If the height of a cone is twice the radius of its base, then;
h = 2x ... 2
Substitute equation 2 into 1
Recall that V = 1/3πx²h
V = 1/3πx²(2x)
V = 2/3πx³
Hence the expression that represents the volume of the cone is 2/3πx³ cubic units
