A Crystal Ball with a Diameter of 12 Inches Is

question 284

Essay

A crystal ball with a diameter of 12 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 6 inches and height 12 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is and the volume of a right circular cylinder with radius r and height h is .) __________

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Definitions:

Axial Skeleton

Part of the vertebrate skeleton forming the vertical support or axis, including the skull, the rib cage, and the vertebral column.

Ribs

The curved bones which form the rib cage, surrounding the chest enabling lung expansion while protecting thoracic organs.

Fibrocartilage

Cartilage with a matrix of strong collagenous fibers.

Hyaline Cartilage

Hyaline cartilage is a translucent type of cartilage found in areas such as the nose, trachea, and at the ends of bones, providing smooth surfaces for movement at joints.