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?

πx2
2πx3
πx2
πx3

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

Where,

r: cone circular base radius

h: height of the cone

Substituting values we have:

Rewriting the equation we have:

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

Note: rewrite the options again.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft

the answer is b