Answer:
16.6%
Explanation:
You want the fraction of container B, a cylinder with radius and height of 18 ft, that remains empty after the contents of container A are pumped into it. Container A is a cylinder with radius 16 ft and height 19 ft.
Volume
The volume of a cylinder is given by the formula ...
V = πr²h
Fraction
The fraction of container B that is full after container A is emptied into it is ...
Va/Vb = (π(16 ft)²(19 ft))/(π(18 ft²)(18 ft)) = (16²·19)/18³
The fraction of container B that is empty, is the difference between 1 and this amount:
V'b = 1 -(16²·19)/18³ ≈ 0.166 = 16.6%
About 16.6% of container B remains empty.
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