Answer:
Option D - Radius =16 m
Step-by-step explanation:
Given : A cylinder has a height of 23 m and a volume of 18,488 m³.
To find : What is the radius of the cylinder?
Solution : Formula of Volume of the cylinder
[tex]V=\pi r^2\times h[/tex]
where V is the volume, r is the radius and h is the height.
To find radius the formula became,
[tex]r=\sqrt{\frac{V}{\pi\times h}}[/tex]
Substitute h=23 m, [tex]V=18,488 m^3[/tex]and [tex]\pi =3.14[/tex]
[tex]r=\sqrt{\frac{18488}{3.14\times 23}}[/tex]
[tex]r=\sqrt{\frac{18488}{72.22}}[/tex]
[tex]r=\sqrt{255.99}[/tex]
[tex]r=15.99[/tex]
Approximately, Radius is 16 m
Therefore,Option D is correct.
