A Solid Is Formed by Adjoining Two Hemispheres to the Ends

question 10

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.

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Definitions:

Cognitive Interpretation

The process by which individuals perceive, understand, and make sense of their surroundings through mental processes.

Autonomic Arousal

The activation of the autonomic nervous system, responsible for involuntary physiological responses to stimuli.

Conscious Experience

The awareness of internal or external existence, including thoughts, feelings, and perceptions.

James-Lange Theory

The James-Lange Theory proposes that emotions result from the interpretation of bodily responses to external stimuli, before the emotion is experienced.