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

Answer:

3 meters

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.

$\text{Volume of a cone=}\frac{1}{3}\pi r^2h$

Substitution of the given values gives:

$\begin{gathered} 56.52=\frac{1}{3}\times3.14\times6\times r^2 \\ 56.52=6.28r^2 \\ r^2=\frac{56.52}{6.28} \\ r^2=9 \\ r^2=3^2 \\ r=3m \end{gathered}$

The radius of the cone is 3 meters.