Question

The base diameter and the height of a cone are both equal to x units.

Answer 1

Answer:

1/12pix^3

Step-by-step explanation:

Answer 2

By definition, the volume of a cone is given by:

$V = (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)$

Where,

r: cone circular base radius

h: height of the cone

Substituting values we have:

$V = (\frac{1}{3}) * (\pi) * ((\frac{x}{2}) ^ 2) * (x)$

Rewriting the equation we have:

$V = (\frac{1}{3}) * (\pi) * (\frac{x^2}{4}) * (x)$

$V = (\frac{1}{12}) * (\pi) * (x ^ 3)$

Answer:

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

$V = (\frac{1}{12}) * (\pi) * (x ^ 3)$

Note: rewrite the options again.