Question

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

Answer 1

A.) 20.60 cubic units

Explanation:

PLATO

Answer 2

Volume of empty space = Volume of box - Volume of cylinder
Volume of box = 96 cubic units (given)
Volume of cylinder = πr²h where r = radius and h = height.
Diameter of cylinder = 4 units (given)
Radius of cylinder = 1/2 diameter = 2 units
Height of cylinder = 6 units (given)
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