Answer:
The volume of air in the cube is 93.004 cm³.
Step-by-step explanation:
Given : A solid sphere just fits inside a cube that has an edge length equal to the diameter of the sphere. The edge length of the cube is 5.8 cm.
To find : What is the volume of air in the cube to the nearest cubic centimeter?
Solution :
The edge length of the cube is 5.8 cm.
The volume of the cube is
A solid sphere just fits inside a cube that has an edge length equal to the diameter of the sphere.
i.e. Diameter of sphere = 5.8 cm
The radius of sphere =
The volume of the sphere is
The volume of air in the cube = Volume of cube - Volume of sphere
The volume of air in the cube = 195.112 - 102.108
The volume of air in the cube is 93.004 cm³.
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Step-by-step explanation: