Formula for volume of a cylinder is
[tex]v = \pi r^{2} h[/tex]
where r is the radius and h is the height
We can set v equal to 112π as we are given that.
We can set r to 7 as we are given the diameter, 14, and the radius is half of that.
[tex]112 \pi= \pi 7^{2} h[/tex]
Simplify this equation,
[tex]112 \pi = \pi *49*h[/tex]
Our goal is to to isolate h, as we are trying to find the height.
So divide 49π on both sides,[tex] \frac{112 \pi }{49 \pi } = h[/tex]
The π's cancel out and we are left with
[tex]h = \frac{112}{49} [/tex] or 16/7 centimeters.
Hope this helped! :)
