Question

the volume of this cylinder is 18,042.44 cubic meters. what is the radius? round your answer to the nearest hundredth. cylinder image with height 34 m and radius r r ≈ □ meters

Explanation:

Step1: Recall cylinder volume formula

Volume $V = \pi r^2 h$, where $V=18042.44$, $h=34$, $\pi\approx3.1416$.

Step2: Solve for $r^2$

Rearrange formula: $r^2 = \frac{V}{\pi h}$
Substitute values: $r^2 = \frac{18042.44}{3.1416\times34}$

Step3: Calculate denominator

$3.1416\times34\approx106.8144$

Step4: Compute $r^2$

$r^2\approx\frac{18042.44}{106.8144}\approx168.91$

Step5: Find $r$

$r\approx\sqrt{168.91}\approx12.996\approx13.00$

Answer:

13.00