a cylinder has a height of 16 meters. its volume is 14,519.36 cubic meters. what is the radius of the…

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$.

Step2: Rearrange the formula for $r$

We get $r^{2}=\frac{V}{\pi h}$, then $r = \sqrt{\frac{V}{\pi h}}$.

Step3: Substitute given values

Substitute $V = 14519.36$, $\pi=3.14$, and $h = 16$ into the formula: $r=\sqrt{\frac{14519.36}{3.14\times16}}$. First, calculate the denominator: $3.14\times16 = 50.24$. Then, $\frac{14519.36}{50.24}=289$. So, $r=\sqrt{289}$.

Step4: Find the value of $r$

$r = 17.00$

Answer:

$17.00$