Dawncroteau Dawncroteau
  • 05-11-2019
  • Mathematics
contestada

A cone-shaped pile of sawdust has a base diameter of 32 feet, and is 12 feet tall. Find the volume of the pile.

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georgei1
georgei1 georgei1
  • 05-11-2019

Answer:

3216.99ft

Step-by-step explanation:

the formula for the volume of a cone is V=πr^2h/3

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jdoe0001 jdoe0001
  • 05-11-2019

if it has a diameter of 32, so its radius must be half that or 16.

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=16\\ h=12 \end{cases}\implies V=\cfrac{\pi (16)^2(12)}{3} \\\\\\ V=1024\pi \implies V\approx 3216.99[/tex]

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