Question

the volume of this cylinder is 2,769.48 cubic yards. what is the radius?
round your answer to the nearest hundredth.
image of a cylinder with height 18 yd and radius r
r ≈ \boxed{} yards

Explanation:

Step1: Recall cylinder volume formula

Volume $V = \pi r^2 h$
Given $V=2769.48$, $h=18$, $\pi\approx3.14$

Step2: Rearrange for $r^2$

$r^2 = \frac{V}{\pi h} = \frac{2769.48}{3.14\times18}$

Step3: Calculate denominator

$3.14\times18 = 56.52$

Step4: Compute $r^2$

$r^2 = \frac{2769.48}{56.52} = 49$

Step5: Find $r$

$r = \sqrt{49} = 7$

Answer:

7.00 yards