Answered

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A cone-shaped pile of sawdust has a base diameter of 28 feet, and is 11 feet tall. Find thevolume of the pile.

Sagot :

The diameter is given as 28 feet and height is 11 feet.

To find the radius of the feet,

[tex]d=2r[/tex][tex]28=2r[/tex][tex]r=\frac{28}{2}=14[/tex]

To determine the volume of cone , use the formula .

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

Substitute the values in the formula.

[tex]V=\frac{1}{3}\times3.14\times14\times14\times11[/tex]

[tex]V=2256.6ft^3[/tex]

Hence the volume of pile is

[tex]V=2256.6ft^3[/tex]

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