Answer:
The height of cylinder is 5.49 feet
Solution:
Volume of right cylinder v =155.4 feet
r = 3 feet
Height of cylinder we need to find.
Using the volume formulae:
The volume of a right cylinder is [tex]\mathrm{v}=\pi \times r^{2} \times h[/tex]
Where,
r is the radius
h is the height.
We know the radius and volume and by rewriting the volume formula, we can find the height of right cylinder
[tex]h=\frac{v}{\pi r^{2}}[/tex]
Now, we just substitute the known values in for their corresponding variables:
[tex]h=\frac{155.4}{3.14 \times 3^{2}}[/tex]
[tex]h = \frac{155.4}{28.26}[/tex]
h = 5.49 feet
hence the height of the cylinder is 5.49 feet
