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.

The volume of this cone is 5652 cubic meters What is the radius of this cone Use pi314 and round your answer to the nearest hundredth class=

Respuesta :

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.

[tex]\text{Volume of a cone=}\frac{1}{3}\pi r^2h[/tex]

Substitution of the given values gives:

[tex]\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}[/tex]

The radius of the cone is 3 meters.