Question

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

A cone has a height of x and a diameter of x.

Which expression represents the volume of the cone, in cubic units?

πx2
2πx3
One-thirdπx2
One-twelfthπx3

Answer 1

Volume of a cone: V = (1/3)πr^2h. Here r = x/2 and h = x, so
V = (1/3)π(x/2)^2(x) = (1/3)π(x^3/4) = πx^3/12.

Answer: One-twelfth πx^3.