A Can Containing 13 $\pi$ R²h, S = 2 $\pi$ Rh, a =

question 150

Essay

A can containing 13.5 in³ of tuna and water is to be made in the form of a circular cylinder. What dimensions of the can will require the least amount of material? (V = $\pi$ r²h, S = 2 $\pi$ rh, A = $\pi$ r²)

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Definitions:

Sympathetic Nervous System

A part of the autonomic nervous system that prepares the body for physical activity by accelerating the heart rate, constricting blood vessels, and raising blood pressure.

Bodily Arousal

A state of physiological activation or readiness, often associated with emotions, stress, or excitement, involving changes in heart rate, blood pressure, and respiration.

Autonomic Nervous System

The component of the nervous system that regulates involuntary bodily functions, including respiration, cardiac rhythm, and digestion activities.

Somatic Nervous System

The part of the peripheral nervous system that controls voluntary movements of the body and transmits sensory information to the central nervous system.