Question

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r? V = r2 V = r3 V = r3 V = r2

Answer 1

Hello!

The height is twice the diameter

h = 2d

The diameter is double the radius

2d = 4r

We use the equation the find the volume of a cone


`V = (1)/(3) \pi r^(2) h`


`V= (1)/(3) \pi r^(2) *4r`


`V = (4)/(3) \pi r^(3)`

The answer is
`V = (4)/(3) \pi r^(3)`

Hope this helps!