Answer:
(d) 7/2 inches
Explanation:
You want the height of a cylinder with a volume of 1 2/9 in³ and a radius of 1/3 in.
Volume
The formula for volume of a cylinder is ...
V = πr²h
Solving for h, we find ...
h = V/(πr²)
Application
Using the given values, we find the height of the cylinder to be ...
h = (1 2/9)/((22/7)(1/3)²) = (11/9)/(22/7·1/9) = 11·7/22
h = 7/2 . . . . inches
The height of the cylinder is 7/2 inches.
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