Question

unit 1 online homework score: 53/100 answered: 16/29 question 24 volume of a cone the volume of a cone with radius r and height h is given by the formula v = 1/3 πr²h. a cone - shaped pile of sawdust has a base diameter of 36 feet, and is 16 feet tall. find the volume of the sawdust pile. ft.³ round your answer to the nearest hundredth if necessary. use 3.14 or the π button on your calculator. question help: read submit question

Explanation:

Step1: Find the radius

The diameter $d = 36$ feet, and the radius $r=\frac{d}{2}=\frac{36}{2}=18$ feet.

Step2: Substitute values into volume formula

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 18$ feet and $h = 16$ feet. So $V=\frac{1}{3}\times\pi\times(18)^{2}\times16$.

Step3: Calculate the volume

First, $(18)^{2}=324$. Then $\frac{1}{3}\times\pi\times324\times16 = \pi\times108\times16=1728\pi$. Using $\pi = 3.14$, we get $V=1728\times3.14 = 5425.92$ cubic - feet.

Answer:

$5425.92$