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].