Question

a cylinder has a height of 5 centimeters. its volume is 251.2 cubic centimeters. what is the radius of the cylinder? round your answer to the nearest hundredth. r ≈ \boxed{} centimeters submit

Explanation:

Step1: Recall cylinder volume formula

Volume $V = \pi r^2 h$
Given $V=251.2$, $h=5$, $\pi\approx3.14$

Step2: Rearrange for $r^2$

$r^2 = \frac{V}{\pi h} = \frac{251.2}{3.14\times5}$

Step3: Calculate $r^2$

$3.14\times5=15.7$, so $r^2=\frac{251.2}{15.7}=16$

Step4: Find $r$

$r=\sqrt{16}=4$

Answer:

4.00