Answer:
20.0 inches
Explanation:
The formula for the volume of a cylinder is useful here.
V = πr²h
Filling in the given numbers, we see ...
5667.7 = (3.14)(9.5²)h
Dividing by the coefficient of h, we get ...
h = 5667.7/283.385 = 20 . . . . inches
The height of the waste can is 20.0 inches.
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Comment on the solution
If you use a more exact value of pi, the height is closer to 19.9899 inches. It still rounds to 20.0.