Question

The volume of this cone is 56.52 cubic meters. What is the radius of this cone? Use pi=3.14 and round your answer to the nearest hundredth.

Answer 1

3 meters

Step-by-step explanation:

From the diagram:

The perpendicular height of the cone, h = 6m

We are told that:

The volume of this cone = 56.52 cubic meters.

`\text{Volume of a cone=}(1)/(3)\pi r^2h`

Substitution of the given values gives:

`\begin{gathered} 56.52=(1)/(3)*3.14*6* r^2 \\ 56.52=6.28r^2 \\ r^2=(56.52)/(6.28) \\ r^2=9 \\ r^2=3^2 \\ r=3m \end{gathered}`

The radius of the cone is 3 meters.