A cylinder has a height of 20 inches. Its volume is $5,086.8$ cubic inches. What is the radius of the cylinder?
Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.
\[
r \approx \square \text { inches }
\]
Submit
Answer
Final Answer: The radius of the cylinder is approximately \(\boxed{9.0}\) inches.
Step 1 ：The volume of a cylinder is given by the formula \(V = \pi r^2 h\), where \(V\) is the volume, \(r\) is the radius, and \(h\) is the height. We know the volume and the height, so we can solve for the radius.
Step 2 ：We can rearrange the formula to solve for \(r\): \(r = \sqrt{\frac{V}{\pi h}}\)
Step 3 ：We can substitute the given values into this formula to find the radius. Given that \(V = 5086.8\) and \(h = 20\), we find that \(r = 9.0\)
Step 4 ：Final Answer: The radius of the cylinder is approximately \(\boxed{9.0}\) inches.
