The base diameter and the height of a cone are both equal to x units. which expression represents the volume of the cone, in cubic units?

Step-by-step explanation:

The volume of a cone has the following form:

In this case we know that:

and

Therefore the Volume is:

Finally the expression that represents the volume of the cone, in cubic units is:

V = Πx³/12 units³

Step-by-step explanation:

Volume of a cone = 1/3Πr²h where

r is the base radius of the cone and h is its height

If the base diameter and the height of a cone are both equal to x units, the radius of the cone will become;

radius = diameter/2 = x/2 units

Height = x units

Substituting the value of the radius and height into the volume of the cone, we have;

V = 1/3Π(x/2)² × x

V = 1/3Π(x³/4)

V = Πx³/12 units³

Therefore the volume of the cone, in cubic units is expressed as

V = Πx³/12 units³

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