Acone-shaped pile of sawdust has a base diameter of 38 feet, and is 14 feet tall. find the volume of the pile

Given: Diameter of cone = 38 feet and height of cone = 14 feet.

Volume of cone V with radius r is one-third the area of the base B times the height h.

i,e   =  ......[1]

,where B =

First find the radius(r);

Using Diameter(D) = 2r

38 =2r

Divide both side by 2 we get;

Simplify:

19 = r

or r =19 feet

Now, substitute the value of r = 19 feet and h = 14 feet in [1]    [ Use value of   ]

then, we have:

or

V =

or

V = ≈ 5,294.67 cubic feet.

therefore, the volume of pile is; ≈ 5,294.67 cubic feet.

c

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