Question

A cone has its height equal to one third of its diameter. If the height measures p cm, then the volume of the cone in terms of p.

Answer 1

the height of a cone is equal to one third of its diameter
height = p cm
diameter = 3p cm
radius = 3p/2 cm

volume of cone = 1/3*22/7*(3p/2)^2*p = 1.64p^3 cm^3