A Solid Is Formed by Adjoining Two Hemispheres to the Ends

question 53

Multiple Choice

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 30 cubic centimeters. Find the radius, r, of the cylinder that Produces the minimum surface area. Round your answer to two decimal places.

• A) \(r \approx 2.68 \mathrm {~cm}\)
• B) \(r \approx 2.39 \mathrm {~cm}\)
• C) \(r \approx 1.93 \mathrm {~cm}\)
• D) \(r \approx 3.57 \mathrm {~cm}\)
• E) \(r \approx 2.52 \mathrm {~cm}\)

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Definitions:

Transverse Foramina

Small openings in the transverse processes of the cervical vertebrae allowing passage of the vertebral artery.

Transverse Processes

Lateral projections from the vertebrae to which muscles and ligaments attach, and serve as points of articulation for ribs in thoracic vertebrae.

Vertebral Arch

The structure in a vertebra that encloses the spinal cord, formed by pedicles and laminae.

Lamina

Part of the vertebral arch in the spine that forms the back part of the spinal canal which encloses and protects the spinal cord.