Answer:
The answer is
27 cm
Step-by-step explanation:
Volume of a cylinder is given by
V = πr²h
where
h is the height
r is the radius
V is the volume
Since we are finding the height
[tex]h = \frac{V}{\pi {r}^{2} } [/tex]
From the question
V = 675π cm³
r = 5 cm
Substitute the values into the formula and solve for the height
That's
[tex]h = \frac{675\pi}{ {5}^{2}\pi } \\ = \frac{675\pi}{25\pi} \\ = \frac{675}{25} [/tex]
We have the final answer as
27 cm
Hope this helps you
