The information we have about the cylinder is:
The radius
[tex]r=2.5m[/tex]The volume
[tex]V=757m^3[/tex]To find the height, we have to use the general formula for the volume of a cylinder:
[tex]V=\pi r^2h[/tex]Where h is the height of the cylinder.
The first step will be to solve for h in the previous formula by dividing both sides by πr^2:
[tex]\frac{V}{\pi r^2}=h[/tex]The second step will be to substitute the values of the volume and the radius:
[tex]\frac{757m^3}{\pi(2.5m)^2}=h[/tex]We also substitute the value of pi:
[tex]\pi=3.1416[/tex]And we get:
[tex]\frac{757m^3}{(3.1416)(2.5m)^2}=h[/tex]The third step is to solve the operations:
[tex]\frac{757m^3}{(3.1416)(6.25m^2)}=h[/tex][tex]\frac{757m^3}{19.635m^2}=h[/tex][tex]38.55m=h[/tex]The height of the cylinder is 38.55m
Rounding to the nearest tenth: 38.6m
Answer: 38.6m
