Answer:
To start off, we know the problem involves something with volume as it is 3D and has a cubic in it.
We know r = 5, h = 30, and v = 1500
The volume for a cylinder in 3d is : V=[tex]\pi[/tex][tex]r^{2}[/tex]h
We're solving for the height when the cylinder has a volume of 1500, therefor, we will solve for height.
Using our volume equation we plug in all values except h because we're solving for it.
1500=[tex]\pi r^{2} h[/tex]
1500=[tex]\pi 5^{2} h[/tex]
1500=25[tex]\pi[/tex](h)
1500/25[tex]\pi[/tex] = h
60/[tex]\pi[/tex] = h
60/[tex]\pi[/tex] = 19.0985
H is 19ft. (C)
