Question

Find the volume of this cone.Use 3 for TT.V = Tigh3Hint: The radius (1) is1/2 of the diameter.6 ft6 ft-3V ~ [?]ft

Answer 1

`54ft^3`

Step-by-step explanation

The volume of a cone is given by:

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

where r = radius

h = height

The height of the given cone is 6 ft and its diameter is 6 ft. The radius of a cone is half its diameter, hence its radius is:

`\begin{gathered} r=(6)/(2) \\ r=3ft \end{gathered}`

Hence, the volume of the cone is:

`\begin{gathered} V=(3\cdot3^2\cdot6)/(3) \\ V=54ft^3 \end{gathered}`

That is the answer.