Answer:
Step-by-step explanation:
The object is a cylinder and the formula of Volume of the cylinder is given by:
[tex]V=\pi r^2h\\[/tex]
here the height is denoted by x so we replace h by x
[tex]V=\pi r^2x\\\\[/tex]
Now the data given is radius that is 4 which is r and volume is 201.06 and assume the value of π(pi) to be 3.142 so now,
[tex]V=\pi r^2x\\\\201.06=\pi (4)^2x\\\\201.06=16\pi x\\\\\frac{201.06}{16\pi} =x\\\\x=4[/tex]
so the height of the cylinder is x which is 4 ft
