Question

The height of a cone is two times its base diameter. Determine the volume of the cone in terms of its base radius r?

Answer 1

`h=2d=2\cdot2r=4r\\ V=(1)/(3)\pi r^2 h\\ V=(1)/(3)\pi r^2 \cdot4r\\ V=(4)/(3)\pi r^3`

Answer 2

If the height is twice the diameter of the base then, it is four times the radius. Let r be the radius. With this representation, the height of the base is 4r. The volume (V) of the pyramid is calculated through the equation,
V = πr²h/3
Substituting the correct variables,
V = 4πr³/3