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Gelneren [198K]
3 years ago
4

A cylindrical container is packaged inside a prism-shaped box. The box has a volume of 96 cubic units. If the container has a di

ameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? Round the answer to two decimal places.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0
Volume of empty space = Volume of box - Volume of cylinder
Volume of box = 96 cubic units<em> (given)</em>
Volume of cylinder = πr²h where r = radius and h = height.
Diameter of cylinder = 4 units <em>(given)</em>
Radius of cylinder = 1/2 diameter = 2 units
Height of cylinder = 6 units<em> (given)</em>
Volume of cylinder = π(2)²(6) = π(4)(6) = 24π cubic units ≈ 75.40 cubic units
Volume of empty space ≈ 96 - 75.40
Volume of empty space ≈ 20.60 cubic units
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