A cone with radius 6 feet and height 15 feet is shown.6ftEnter the volume, in cubic feet, of the cone. Round youranswer to the nearest hundredth.

Respuesta :

EXPLANATION:

Given;

We are given a cone with the following dimensions;

[tex]\begin{gathered} Dimensions: \\ Radius=6ft \\ Height=15ft \end{gathered}[/tex]

Required;

We are required to calculate the volume of the cone with the given dimensions.

Step-by-step solution;

To solve this problem, we would take note of the formula of the volume of a cone;

[tex]\begin{gathered} Volume\text{ }of\text{ }a\text{ }cone: \\ Vol=\frac{\pi r^2h}{3} \end{gathered}[/tex]

We can now substitute and we'll have;

[tex]Vol=\frac{3.14\times6^2\times15}{3}[/tex][tex]Vol=3.14\times36\times5[/tex][tex]Vol=565.2[/tex]

Therefore, the volume of the cone is,

ANSWER:

[tex]Volume=565.2ft^3[/tex]