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find the volume of this cone. use 3 for $pi$. $v=\frac{pi r^{2}h}{3}$ h…

Question

find the volume of this cone. use 3 for $pi$.
$v=\frac{pi r^{2}h}{3}$
hint: the radius (r) is 1/2 of the diameter.
$vapprox?ft^{3}$

Explanation:

Step1: Determine the radius

The diameter is 6 ft, so $r=\frac{6}{2}=3$ ft.

Step2: Substitute values into the volume formula

Given $\pi = 3$, $r = 3$ ft and $h=6$ ft. Substitute into $V=\frac{\pi r^{2}h}{3}$. Then $V=\frac{3\times3^{2}\times6}{3}$.

Step3: Calculate the volume

First, $3^{2}=9$. Then $3\times9\times6 = 162$. And $\frac{162}{3}=54$.

Answer:

$54$