Respuesta :

Answer:

Volume of pile is 732.6 cubic ft

Step-by-step explanation:

We are given a cone-shaped pile of sawdust, and we have to find the volume of this pile

Base diameter = 20ft

height, h = 7ft

Using the formula for Volume of Cone: πr²h/3

Where r is the radius of base:

First find out radius from diameter:

r = [tex]\frac{d}{2} = \frac{20}{2}[/tex] = 10ft

putting values fo radius, r and height h, in volume formula:

π = 3.14

v =  πr²h/3 = [tex]\frac{3.14*10^{2}*7 }{3}\\\\\frac{2198}{3}\\[/tex]

v = 732.6


Answer:

733.04 feet[tex] ^3 [/tex]

Step-by-step explanation:

We know that a cone-shaped pile of sawdust has a base diameter of 20 feet, and is 7 feet tall.

We know the formula for the volume of the cone:

Volume of a cone = [tex] \pi r ^ 2 \frac {h} {3} [/tex]

So substituting the given values in the above formula:

Volume of cone-shaped pile = [tex]\pi (10)^2\frac{7}{3}[/tex] = 733.04 feet[tex] ^3 [/tex].