Find the volume of a cone with a height of 9ft and a base diameter of 12 ft. Use the value 3.14 for n, and do not do any rounding. Be sure to include the correct unit in your answer.

Find the volume of a cone with a height of 9ft and a base diameter of 12 ft Use the value 314 for n and do not do any rounding Be sure to include the correct un class=

Respuesta :

Given:

it is given that thw height of a cone is 9 ft and base diameter is 12 ft.

Find:

we have to find the Volume of the cone.

Explanation:

we know the volume of the cone with height h and radius r is

[tex]V=\frac{1}{3}\pi r^2h[/tex]

here height (h) = 9 ft

diameter d = 12 ft

Therefore, radius r = 12/2 = 6 ft

The Volume of the cone is

[tex]V=\frac{1}{3}\pi(6)^2\times9=\frac{1}{3}\times(3.14)\times36\times9=339.12\text{ }ft^3[/tex]

Therefore, the volume of the given cone is 339.12 ft^3