Guengle works in urban landscape design a truck arrived pouring a cone shaped pile of gravel six feet high with a diameter at the base of 8.2 ft how much gravel was delivered use pie\

Respuesta :

Answer:

[tex]105.56\ ft^3[/tex] of gravel was used.

Step-by-step explanation:

Given that,

The height of a cone, h = 6 feet

The diameter of the base of cone, d = 8.2 feet

Radius, r = 4.1 feet

We need to find the amount of gravel was delivered. The volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 4.1^2\times 6\\\\V=105.56\ ft^3[/tex]

So, [tex]105.56\ ft^3[/tex] of gravel was used.