The radius of the cylinder is 17 inches.
Step-by-step explanation:
Given,
Volume of cylinder = V = 289π in cubed
Height of cylinder = h = 1 in
Radius of cylinder = r
We know that;
Volume of cylinder = πr²h
Putting values;
[tex]289\pi =\pi r^2(1)[/tex]
Dividing both sides by π (pi)
[tex]\frac{289\pi }{\pi }=\frac{\pi r^2}{\pi }[/tex]
[tex]289=r^2\\r^2=289[/tex]
Taking square root on both sides
[tex]\sqrt{r^2} =\sqrt{289} \\r=17\ in.[/tex]
The radius of the cylinder is 17 inches.
Keywords: volume, radius
Learn more about volumes at:
- brainly.com/question/8806598
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